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Finding the Fourth Proportional to 2,033.32, 2,804 and 1,236.76

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Solution

The fourth proportional to 2,033.32, 2,804 and 1,236.76 is: 1,705.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.32 : 2,804 = 1,236.76 : x
  2. Step 2: Convert to fraction form
    2,033.32/2,804 = 1,236.76/x
  3. Step 3: Cross multiply
    2,033.32x = 2,804 × 1,236.76
  4. Step 4: Simplify right side
    2,033.32x = 3,467,875.04
  5. Step 5: Solve for x
    x = 3,467,875.04/2,033.32
  6. Step 6: Final answer
    x = 1,705.52

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.