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Finding the Fourth Proportional to 2,522.16, 3,478.19 and 1,513.71

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Solution

The fourth proportional to 2,522.16, 3,478.19 and 1,513.71 is: 2,087.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.16 : 3,478.19 = 1,513.71 : x
  2. Step 2: Convert to fraction form
    2,522.16/3,478.19 = 1,513.71/x
  3. Step 3: Cross multiply
    2,522.16x = 3,478.19 × 1,513.71
  4. Step 4: Simplify right side
    2,522.16x = 5,264,963.42
  5. Step 5: Solve for x
    x = 5,264,963.42/2,522.16
  6. Step 6: Final answer
    x = 2,087.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.