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Finding the Fourth Proportional to 2,221.71, 3,330.77 and 924.15

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Solution

The fourth proportional to 2,221.71, 3,330.77 and 924.15 is: 1,385.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.71 : 3,330.77 = 924.15 : x
  2. Step 2: Convert to fraction form
    2,221.71/3,330.77 = 924.15/x
  3. Step 3: Cross multiply
    2,221.71x = 3,330.77 × 924.15
  4. Step 4: Simplify right side
    2,221.71x = 3,078,126.47
  5. Step 5: Solve for x
    x = 3,078,126.47/2,221.71
  6. Step 6: Final answer
    x = 1,385.48

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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.