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Finding the Fourth Proportional to 1,807, 2,492.82 and 1,283.32

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Solution

The fourth proportional to 1,807, 2,492.82 and 1,283.32 is: 1,770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807 : 2,492.82 = 1,283.32 : x
  2. Step 2: Convert to fraction form
    1,807/2,492.82 = 1,283.32/x
  3. Step 3: Cross multiply
    1,807x = 2,492.82 × 1,283.32
  4. Step 4: Simplify right side
    1,807x = 3,199,085.76
  5. Step 5: Solve for x
    x = 3,199,085.76/1,807
  6. Step 6: Final answer
    x = 1,770.39

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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.