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Finding the Fourth Proportional to 1,631.12, 2,446.74 and 476.87

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Solution

The fourth proportional to 1,631.12, 2,446.74 and 476.87 is: 715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.12 : 2,446.74 = 476.87 : x
  2. Step 2: Convert to fraction form
    1,631.12/2,446.74 = 476.87/x
  3. Step 3: Cross multiply
    1,631.12x = 2,446.74 × 476.87
  4. Step 4: Simplify right side
    1,631.12x = 1,166,764.67
  5. Step 5: Solve for x
    x = 1,166,764.67/1,631.12
  6. Step 6: Final answer
    x = 715.32

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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.