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Finding the Fourth Proportional to 2,522.52, 3,762.90 and 2,153.16

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Solution

The fourth proportional to 2,522.52, 3,762.90 and 2,153.16 is: 3,211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.52 : 3,762.90 = 2,153.16 : x
  2. Step 2: Convert to fraction form
    2,522.52/3,762.90 = 2,153.16/x
  3. Step 3: Cross multiply
    2,522.52x = 3,762.90 × 2,153.16
  4. Step 4: Simplify right side
    2,522.52x = 8,102,125.76
  5. Step 5: Solve for x
    x = 8,102,125.76/2,522.52
  6. Step 6: Final answer
    x = 3,211.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.