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Finding the Fourth Proportional to 3,042.36, 4,561.89 and 961.77

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Solution

The fourth proportional to 3,042.36, 4,561.89 and 961.77 is: 1,442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.36 : 4,561.89 = 961.77 : x
  2. Step 2: Convert to fraction form
    3,042.36/4,561.89 = 961.77/x
  3. Step 3: Cross multiply
    3,042.36x = 4,561.89 × 961.77
  4. Step 4: Simplify right side
    3,042.36x = 4,387,502.45
  5. Step 5: Solve for x
    x = 4,387,502.45/3,042.36
  6. Step 6: Final answer
    x = 1,442.14

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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.