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Finding the Fourth Proportional to 3,077.38, 4,614.63 and 885.61

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Solution

The fourth proportional to 3,077.38, 4,614.63 and 885.61 is: 1,328.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.38 : 4,614.63 = 885.61 : x
  2. Step 2: Convert to fraction form
    3,077.38/4,614.63 = 885.61/x
  3. Step 3: Cross multiply
    3,077.38x = 4,614.63 × 885.61
  4. Step 4: Simplify right side
    3,077.38x = 4,086,762.47
  5. Step 5: Solve for x
    x = 4,086,762.47/3,077.38
  6. Step 6: Final answer
    x = 1,328.00

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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.