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Finding the Fourth Proportional to 2,317.61, 3,476.37 and 562.59

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Solution

The fourth proportional to 2,317.61, 3,476.37 and 562.59 is: 843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.61 : 3,476.37 = 562.59 : x
  2. Step 2: Convert to fraction form
    2,317.61/3,476.37 = 562.59/x
  3. Step 3: Cross multiply
    2,317.61x = 3,476.37 × 562.59
  4. Step 4: Simplify right side
    2,317.61x = 1,955,753.62
  5. Step 5: Solve for x
    x = 1,955,753.62/2,317.61
  6. Step 6: Final answer
    x = 843.87

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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.