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Finding the Fourth Proportional to 1,675.52, 2,513.28 and 702.08

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Solution

The fourth proportional to 1,675.52, 2,513.28 and 702.08 is: 1,053.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.52 : 2,513.28 = 702.08 : x
  2. Step 2: Convert to fraction form
    1,675.52/2,513.28 = 702.08/x
  3. Step 3: Cross multiply
    1,675.52x = 2,513.28 × 702.08
  4. Step 4: Simplify right side
    1,675.52x = 1,764,523.62
  5. Step 5: Solve for x
    x = 1,764,523.62/1,675.52
  6. Step 6: Final answer
    x = 1,053.12

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