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Finding the Fourth Proportional to 2,464.34, 3,398.76 and 1,601.69

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Solution

The fourth proportional to 2,464.34, 3,398.76 and 1,601.69 is: 2,209.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.34 : 3,398.76 = 1,601.69 : x
  2. Step 2: Convert to fraction form
    2,464.34/3,398.76 = 1,601.69/x
  3. Step 3: Cross multiply
    2,464.34x = 3,398.76 × 1,601.69
  4. Step 4: Simplify right side
    2,464.34x = 5,443,742.91
  5. Step 5: Solve for x
    x = 5,443,742.91/2,464.34
  6. Step 6: Final answer
    x = 2,209.01

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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.