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Finding the Fourth Proportional to 2,277.72, 3,417.88 and 961.38

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Solution

The fourth proportional to 2,277.72, 3,417.88 and 961.38 is: 1,442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.72 : 3,417.88 = 961.38 : x
  2. Step 2: Convert to fraction form
    2,277.72/3,417.88 = 961.38/x
  3. Step 3: Cross multiply
    2,277.72x = 3,417.88 × 961.38
  4. Step 4: Simplify right side
    2,277.72x = 3,285,881.47
  5. Step 5: Solve for x
    x = 3,285,881.47/2,277.72
  6. Step 6: Final answer
    x = 1,442.62

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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.