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Finding the Fourth Proportional to 2,087.30, 3,130.97 and 702.20

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Solution

The fourth proportional to 2,087.30, 3,130.97 and 702.20 is: 1,053.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.30 : 3,130.97 = 702.20 : x
  2. Step 2: Convert to fraction form
    2,087.30/3,130.97 = 702.20/x
  3. Step 3: Cross multiply
    2,087.30x = 3,130.97 × 702.20
  4. Step 4: Simplify right side
    2,087.30x = 2,198,567.13
  5. Step 5: Solve for x
    x = 2,198,567.13/2,087.30
  6. Step 6: Final answer
    x = 1,053.31

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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.