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Finding the Fourth Proportional to 2,225.16, 3,335.76 and 925.80

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Solution

The fourth proportional to 2,225.16, 3,335.76 and 925.80 is: 1,387.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.16 : 3,335.76 = 925.80 : x
  2. Step 2: Convert to fraction form
    2,225.16/3,335.76 = 925.80/x
  3. Step 3: Cross multiply
    2,225.16x = 3,335.76 × 925.80
  4. Step 4: Simplify right side
    2,225.16x = 3,088,246.61
  5. Step 5: Solve for x
    x = 3,088,246.61/2,225.16
  6. Step 6: Final answer
    x = 1,387.88

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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.