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Finding the Fourth Proportional to 2,754.34, 4,125.03 and 2,292.10

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Solution

The fourth proportional to 2,754.34, 4,125.03 and 2,292.10 is: 3,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.34 : 4,125.03 = 2,292.10 : x
  2. Step 2: Convert to fraction form
    2,754.34/4,125.03 = 2,292.10/x
  3. Step 3: Cross multiply
    2,754.34x = 4,125.03 × 2,292.10
  4. Step 4: Simplify right side
    2,754.34x = 9,454,981.26
  5. Step 5: Solve for x
    x = 9,454,981.26/2,754.34
  6. Step 6: Final answer
    x = 3,432.76

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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.