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Finding the Fourth Proportional to 2,319.26, 3,478.62 and 587.76

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Solution

The fourth proportional to 2,319.26, 3,478.62 and 587.76 is: 881.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.26 : 3,478.62 = 587.76 : x
  2. Step 2: Convert to fraction form
    2,319.26/3,478.62 = 587.76/x
  3. Step 3: Cross multiply
    2,319.26x = 3,478.62 × 587.76
  4. Step 4: Simplify right side
    2,319.26x = 2,044,593.69
  5. Step 5: Solve for x
    x = 2,044,593.69/2,319.26
  6. Step 6: Final answer
    x = 881.57

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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.