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Finding the Fourth Proportional to 2,655.93, 3,982.14 and 924.15

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Solution

The fourth proportional to 2,655.93, 3,982.14 and 924.15 is: 1,385.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.93 : 3,982.14 = 924.15 : x
  2. Step 2: Convert to fraction form
    2,655.93/3,982.14 = 924.15/x
  3. Step 3: Cross multiply
    2,655.93x = 3,982.14 × 924.15
  4. Step 4: Simplify right side
    2,655.93x = 3,680,094.68
  5. Step 5: Solve for x
    x = 3,680,094.68/2,655.93
  6. Step 6: Final answer
    x = 1,385.61

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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.