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Finding the Fourth Proportional to 2,702.57, 4,052.03 and 1,468.94

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Solution

The fourth proportional to 2,702.57, 4,052.03 and 1,468.94 is: 2,202.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.57 : 4,052.03 = 1,468.94 : x
  2. Step 2: Convert to fraction form
    2,702.57/4,052.03 = 1,468.94/x
  3. Step 3: Cross multiply
    2,702.57x = 4,052.03 × 1,468.94
  4. Step 4: Simplify right side
    2,702.57x = 5,952,161.34
  5. Step 5: Solve for x
    x = 5,952,161.34/2,702.57
  6. Step 6: Final answer
    x = 2,202.41

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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.