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Finding the Fourth Proportional to 2,317.91, 3,476.87 and 586.54

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Solution

The fourth proportional to 2,317.91, 3,476.87 and 586.54 is: 879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.91 : 3,476.87 = 586.54 : x
  2. Step 2: Convert to fraction form
    2,317.91/3,476.87 = 586.54/x
  3. Step 3: Cross multiply
    2,317.91x = 3,476.87 × 586.54
  4. Step 4: Simplify right side
    2,317.91x = 2,039,304.48
  5. Step 5: Solve for x
    x = 2,039,304.48/2,317.91
  6. Step 6: Final answer
    x = 879.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.