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Finding the Fourth Proportional to 3,041.30, 4,561.56 and 961.52

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Solution

The fourth proportional to 3,041.30, 4,561.56 and 961.52 is: 1,442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.30 : 4,561.56 = 961.52 : x
  2. Step 2: Convert to fraction form
    3,041.30/4,561.56 = 961.52/x
  3. Step 3: Cross multiply
    3,041.30x = 4,561.56 × 961.52
  4. Step 4: Simplify right side
    3,041.30x = 4,386,005.66
  5. Step 5: Solve for x
    x = 4,386,005.66/3,041.30
  6. Step 6: Final answer
    x = 1,442.15

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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.