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Finding the Fourth Proportional to 3,061.61, 4,589.72 and 1,214.03

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Solution

The fourth proportional to 3,061.61, 4,589.72 and 1,214.03 is: 1,819.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.61 : 4,589.72 = 1,214.03 : x
  2. Step 2: Convert to fraction form
    3,061.61/4,589.72 = 1,214.03/x
  3. Step 3: Cross multiply
    3,061.61x = 4,589.72 × 1,214.03
  4. Step 4: Simplify right side
    3,061.61x = 5,572,037.86
  5. Step 5: Solve for x
    x = 5,572,037.86/3,061.61
  6. Step 6: Final answer
    x = 1,819.97

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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.