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Finding the Fourth Proportional to 2,562.89, 3,844.34 and 615.09

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Solution

The fourth proportional to 2,562.89, 3,844.34 and 615.09 is: 922.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.89 : 3,844.34 = 615.09 : x
  2. Step 2: Convert to fraction form
    2,562.89/3,844.34 = 615.09/x
  3. Step 3: Cross multiply
    2,562.89x = 3,844.34 × 615.09
  4. Step 4: Simplify right side
    2,562.89x = 2,364,627.01
  5. Step 5: Solve for x
    x = 2,364,627.01/2,562.89
  6. Step 6: Final answer
    x = 922.64

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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.