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Finding the Fourth Proportional to 2,427.90, 3,643.07 and 1,040.85

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Solution

The fourth proportional to 2,427.90, 3,643.07 and 1,040.85 is: 1,561.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.90 : 3,643.07 = 1,040.85 : x
  2. Step 2: Convert to fraction form
    2,427.90/3,643.07 = 1,040.85/x
  3. Step 3: Cross multiply
    2,427.90x = 3,643.07 × 1,040.85
  4. Step 4: Simplify right side
    2,427.90x = 3,791,884.21
  5. Step 5: Solve for x
    x = 3,791,884.21/2,427.90
  6. Step 6: Final answer
    x = 1,561.80

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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.