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Finding the Fourth Proportional to 2,446.64, 3,376.58 and 1,398.77

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Solution

The fourth proportional to 2,446.64, 3,376.58 and 1,398.77 is: 1,930.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.64 : 3,376.58 = 1,398.77 : x
  2. Step 2: Convert to fraction form
    2,446.64/3,376.58 = 1,398.77/x
  3. Step 3: Cross multiply
    2,446.64x = 3,376.58 × 1,398.77
  4. Step 4: Simplify right side
    2,446.64x = 4,723,034.93
  5. Step 5: Solve for x
    x = 4,723,034.93/2,446.64
  6. Step 6: Final answer
    x = 1,930.42

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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.