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Finding the Fourth Proportional to 2,434.96, 3,654.72 and 1,337.82

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Solution

The fourth proportional to 2,434.96, 3,654.72 and 1,337.82 is: 2,007.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.96 : 3,654.72 = 1,337.82 : x
  2. Step 2: Convert to fraction form
    2,434.96/3,654.72 = 1,337.82/x
  3. Step 3: Cross multiply
    2,434.96x = 3,654.72 × 1,337.82
  4. Step 4: Simplify right side
    2,434.96x = 4,889,343.81
  5. Step 5: Solve for x
    x = 4,889,343.81/2,434.96
  6. Step 6: Final answer
    x = 2,007.98

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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.