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Finding the Fourth Proportional to 2,319.17, 3,478.71 and 587.75

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Solution

The fourth proportional to 2,319.17, 3,478.71 and 587.75 is: 881.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.17 : 3,478.71 = 587.75 : x
  2. Step 2: Convert to fraction form
    2,319.17/3,478.71 = 587.75/x
  3. Step 3: Cross multiply
    2,319.17x = 3,478.71 × 587.75
  4. Step 4: Simplify right side
    2,319.17x = 2,044,611.80
  5. Step 5: Solve for x
    x = 2,044,611.80/2,319.17
  6. Step 6: Final answer
    x = 881.61

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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.