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Finding the Fourth Proportional to 3,034.02, 4,551.05 and 842.91

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Solution

The fourth proportional to 3,034.02, 4,551.05 and 842.91 is: 1,264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.02 : 4,551.05 = 842.91 : x
  2. Step 2: Convert to fraction form
    3,034.02/4,551.05 = 842.91/x
  3. Step 3: Cross multiply
    3,034.02x = 4,551.05 × 842.91
  4. Step 4: Simplify right side
    3,034.02x = 3,836,149.00
  5. Step 5: Solve for x
    x = 3,836,149.00/3,034.02
  6. Step 6: Final answer
    x = 1,264.38

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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.