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Finding the Fourth Proportional to 1,702.59, 2,350.65 and 1,114.12

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Solution

The fourth proportional to 1,702.59, 2,350.65 and 1,114.12 is: 1,538.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.59 : 2,350.65 = 1,114.12 : x
  2. Step 2: Convert to fraction form
    1,702.59/2,350.65 = 1,114.12/x
  3. Step 3: Cross multiply
    1,702.59x = 2,350.65 × 1,114.12
  4. Step 4: Simplify right side
    1,702.59x = 2,618,906.18
  5. Step 5: Solve for x
    x = 2,618,906.18/1,702.59
  6. Step 6: Final answer
    x = 1,538.19

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