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Finding the Fourth Proportional to 3,034.16, 4,551.23 and 842.90

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Solution

The fourth proportional to 3,034.16, 4,551.23 and 842.90 is: 1,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.16 : 4,551.23 = 842.90 : x
  2. Step 2: Convert to fraction form
    3,034.16/4,551.23 = 842.90/x
  3. Step 3: Cross multiply
    3,034.16x = 4,551.23 × 842.90
  4. Step 4: Simplify right side
    3,034.16x = 3,836,204.80
  5. Step 5: Solve for x
    x = 3,836,204.80/3,034.16
  6. Step 6: Final answer
    x = 1,264.34

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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.