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Finding the Fourth Proportional to 2,902.41, 4,353.71 and 954.77

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Solution

The fourth proportional to 2,902.41, 4,353.71 and 954.77 is: 1,432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.41 : 4,353.71 = 954.77 : x
  2. Step 2: Convert to fraction form
    2,902.41/4,353.71 = 954.77/x
  3. Step 3: Cross multiply
    2,902.41x = 4,353.71 × 954.77
  4. Step 4: Simplify right side
    2,902.41x = 4,156,772.32
  5. Step 5: Solve for x
    x = 4,156,772.32/2,902.41
  6. Step 6: Final answer
    x = 1,432.18

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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.