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Finding the Fourth Proportional to 2,319.66, 3,478.14 and 1,002.87

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Solution

The fourth proportional to 2,319.66, 3,478.14 and 1,002.87 is: 1,503.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.66 : 3,478.14 = 1,002.87 : x
  2. Step 2: Convert to fraction form
    2,319.66/3,478.14 = 1,002.87/x
  3. Step 3: Cross multiply
    2,319.66x = 3,478.14 × 1,002.87
  4. Step 4: Simplify right side
    2,319.66x = 3,488,122.26
  5. Step 5: Solve for x
    x = 3,488,122.26/2,319.66
  6. Step 6: Final answer
    x = 1,503.72

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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.