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Finding the Fourth Proportional to 2,264.48, 3,397.62 and 2,082.92

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Solution

The fourth proportional to 2,264.48, 3,397.62 and 2,082.92 is: 3,125.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.48 : 3,397.62 = 2,082.92 : x
  2. Step 2: Convert to fraction form
    2,264.48/3,397.62 = 2,082.92/x
  3. Step 3: Cross multiply
    2,264.48x = 3,397.62 × 2,082.92
  4. Step 4: Simplify right side
    2,264.48x = 7,076,970.65
  5. Step 5: Solve for x
    x = 7,076,970.65/2,264.48
  6. Step 6: Final answer
    x = 3,125.21

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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.