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Finding the Fourth Proportional to 2,427.64, 3,641.46 and 1,040.86

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Solution

The fourth proportional to 2,427.64, 3,641.46 and 1,040.86 is: 1,561.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.64 : 3,641.46 = 1,040.86 : x
  2. Step 2: Convert to fraction form
    2,427.64/3,641.46 = 1,040.86/x
  3. Step 3: Cross multiply
    2,427.64x = 3,641.46 × 1,040.86
  4. Step 4: Simplify right side
    2,427.64x = 3,790,250.06
  5. Step 5: Solve for x
    x = 3,790,250.06/2,427.64
  6. Step 6: Final answer
    x = 1,561.29

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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.