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Finding the Fourth Proportional to 3,074.48, 4,614.08 and 2,254.88

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Solution

The fourth proportional to 3,074.48, 4,614.08 and 2,254.88 is: 3,384.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.48 : 4,614.08 = 2,254.88 : x
  2. Step 2: Convert to fraction form
    3,074.48/4,614.08 = 2,254.88/x
  3. Step 3: Cross multiply
    3,074.48x = 4,614.08 × 2,254.88
  4. Step 4: Simplify right side
    3,074.48x = 10,404,196.71
  5. Step 5: Solve for x
    x = 10,404,196.71/3,074.48
  6. Step 6: Final answer
    x = 3,384.05

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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.