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Finding the Fourth Proportional to 2,427.74, 3,642.30 and 1,041.15

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Solution

The fourth proportional to 2,427.74, 3,642.30 and 1,041.15 is: 1,562.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.74 : 3,642.30 = 1,041.15 : x
  2. Step 2: Convert to fraction form
    2,427.74/3,642.30 = 1,041.15/x
  3. Step 3: Cross multiply
    2,427.74x = 3,642.30 × 1,041.15
  4. Step 4: Simplify right side
    2,427.74x = 3,792,180.65
  5. Step 5: Solve for x
    x = 3,792,180.65/2,427.74
  6. Step 6: Final answer
    x = 1,562.02

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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.