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Finding the Fourth Proportional to 2,849, 4,265.18 and 2,024.68

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Solution

The fourth proportional to 2,849, 4,265.18 and 2,024.68 is: 3,031.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849 : 4,265.18 = 2,024.68 : x
  2. Step 2: Convert to fraction form
    2,849/4,265.18 = 2,024.68/x
  3. Step 3: Cross multiply
    2,849x = 4,265.18 × 2,024.68
  4. Step 4: Simplify right side
    2,849x = 8,635,624.64
  5. Step 5: Solve for x
    x = 8,635,624.64/2,849
  6. Step 6: Final answer
    x = 3,031.11

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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.