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Finding the Fourth Proportional to 2,234.71, 3,349.89 and 1,064.40

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Solution

The fourth proportional to 2,234.71, 3,349.89 and 1,064.40 is: 1,595.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.71 : 3,349.89 = 1,064.40 : x
  2. Step 2: Convert to fraction form
    2,234.71/3,349.89 = 1,064.40/x
  3. Step 3: Cross multiply
    2,234.71x = 3,349.89 × 1,064.40
  4. Step 4: Simplify right side
    2,234.71x = 3,565,617.59
  5. Step 5: Solve for x
    x = 3,565,617.59/2,234.71
  6. Step 6: Final answer
    x = 1,595.56

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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.