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Finding the Fourth Proportional to 3,041.89, 4,563.20 and 961.34

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Solution

The fourth proportional to 3,041.89, 4,563.20 and 961.34 is: 1,442.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.89 : 4,563.20 = 961.34 : x
  2. Step 2: Convert to fraction form
    3,041.89/4,563.20 = 961.34/x
  3. Step 3: Cross multiply
    3,041.89x = 4,563.20 × 961.34
  4. Step 4: Simplify right side
    3,041.89x = 4,386,766.28
  5. Step 5: Solve for x
    x = 4,386,766.28/3,041.89
  6. Step 6: Final answer
    x = 1,442.12

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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.