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Finding the Fourth Proportional to 2,328.32, 3,493.76 and 961.28

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Solution

The fourth proportional to 2,328.32, 3,493.76 and 961.28 is: 1,442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.32 : 3,493.76 = 961.28 : x
  2. Step 2: Convert to fraction form
    2,328.32/3,493.76 = 961.28/x
  3. Step 3: Cross multiply
    2,328.32x = 3,493.76 × 961.28
  4. Step 4: Simplify right side
    2,328.32x = 3,358,481.61
  5. Step 5: Solve for x
    x = 3,358,481.61/2,328.32
  6. Step 6: Final answer
    x = 1,442.45

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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.