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Finding the Fourth Proportional to 2,376.52, 3,281.18 and 1,446.64

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Solution

The fourth proportional to 2,376.52, 3,281.18 and 1,446.64 is: 1,997.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.52 : 3,281.18 = 1,446.64 : x
  2. Step 2: Convert to fraction form
    2,376.52/3,281.18 = 1,446.64/x
  3. Step 3: Cross multiply
    2,376.52x = 3,281.18 × 1,446.64
  4. Step 4: Simplify right side
    2,376.52x = 4,746,686.24
  5. Step 5: Solve for x
    x = 4,746,686.24/2,376.52
  6. Step 6: Final answer
    x = 1,997.33

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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.