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Finding the Fourth Proportional to 2,702.67, 4,053.45 and 1,142.16

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Solution

The fourth proportional to 2,702.67, 4,053.45 and 1,142.16 is: 1,713.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.67 : 4,053.45 = 1,142.16 : x
  2. Step 2: Convert to fraction form
    2,702.67/4,053.45 = 1,142.16/x
  3. Step 3: Cross multiply
    2,702.67x = 4,053.45 × 1,142.16
  4. Step 4: Simplify right side
    2,702.67x = 4,629,688.45
  5. Step 5: Solve for x
    x = 4,629,688.45/2,702.67
  6. Step 6: Final answer
    x = 1,713.01

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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.