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Finding the Fourth Proportional to 2,962.71, 4,442.45 and 1,478.70

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Solution

The fourth proportional to 2,962.71, 4,442.45 and 1,478.70 is: 2,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.71 : 4,442.45 = 1,478.70 : x
  2. Step 2: Convert to fraction form
    2,962.71/4,442.45 = 1,478.70/x
  3. Step 3: Cross multiply
    2,962.71x = 4,442.45 × 1,478.70
  4. Step 4: Simplify right side
    2,962.71x = 6,569,043.42
  5. Step 5: Solve for x
    x = 6,569,043.42/2,962.71
  6. Step 6: Final answer
    x = 2,217.24

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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.