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Finding the Fourth Proportional to 2,702.87, 4,052.60 and 1,142.07

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Solution

The fourth proportional to 2,702.87, 4,052.60 and 1,142.07 is: 1,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.87 : 4,052.60 = 1,142.07 : x
  2. Step 2: Convert to fraction form
    2,702.87/4,052.60 = 1,142.07/x
  3. Step 3: Cross multiply
    2,702.87x = 4,052.60 × 1,142.07
  4. Step 4: Simplify right side
    2,702.87x = 4,628,347.17
  5. Step 5: Solve for x
    x = 4,628,347.17/2,702.87
  6. Step 6: Final answer
    x = 1,712.38

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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.