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Finding the Fourth Proportional to 2,318.69, 3,477.86 and 587.27

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Solution

The fourth proportional to 2,318.69, 3,477.86 and 587.27 is: 880.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.69 : 3,477.86 = 587.27 : x
  2. Step 2: Convert to fraction form
    2,318.69/3,477.86 = 587.27/x
  3. Step 3: Cross multiply
    2,318.69x = 3,477.86 × 587.27
  4. Step 4: Simplify right side
    2,318.69x = 2,042,439.91
  5. Step 5: Solve for x
    x = 2,042,439.91/2,318.69
  6. Step 6: Final answer
    x = 880.86

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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.