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Finding the Fourth Proportional to 3,041.04, 4,562.21 and 961.65

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Solution

The fourth proportional to 3,041.04, 4,562.21 and 961.65 is: 1,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.04 : 4,562.21 = 961.65 : x
  2. Step 2: Convert to fraction form
    3,041.04/4,562.21 = 961.65/x
  3. Step 3: Cross multiply
    3,041.04x = 4,562.21 × 961.65
  4. Step 4: Simplify right side
    3,041.04x = 4,387,249.25
  5. Step 5: Solve for x
    x = 4,387,249.25/3,041.04
  6. Step 6: Final answer
    x = 1,442.68

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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.