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Finding the Fourth Proportional to 1,932.57, 2,909.70 and 1,702.89

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Solution

The fourth proportional to 1,932.57, 2,909.70 and 1,702.89 is: 2,563.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.57 : 2,909.70 = 1,702.89 : x
  2. Step 2: Convert to fraction form
    1,932.57/2,909.70 = 1,702.89/x
  3. Step 3: Cross multiply
    1,932.57x = 2,909.70 × 1,702.89
  4. Step 4: Simplify right side
    1,932.57x = 4,954,899.03
  5. Step 5: Solve for x
    x = 4,954,899.03/1,932.57
  6. Step 6: Final answer
    x = 2,563.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.