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Finding the Fourth Proportional to 1,803.49, 2,705.24 and 923.49

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Solution

The fourth proportional to 1,803.49, 2,705.24 and 923.49 is: 1,385.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.49 : 2,705.24 = 923.49 : x
  2. Step 2: Convert to fraction form
    1,803.49/2,705.24 = 923.49/x
  3. Step 3: Cross multiply
    1,803.49x = 2,705.24 × 923.49
  4. Step 4: Simplify right side
    1,803.49x = 2,498,264.40
  5. Step 5: Solve for x
    x = 2,498,264.40/1,803.49
  6. Step 6: Final answer
    x = 1,385.24

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.