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Finding the Fourth Proportional to 2,427.61, 3,642.33 and 1,454.41

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Solution

The fourth proportional to 2,427.61, 3,642.33 and 1,454.41 is: 2,182.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.61 : 3,642.33 = 1,454.41 : x
  2. Step 2: Convert to fraction form
    2,427.61/3,642.33 = 1,454.41/x
  3. Step 3: Cross multiply
    2,427.61x = 3,642.33 × 1,454.41
  4. Step 4: Simplify right side
    2,427.61x = 5,297,441.18
  5. Step 5: Solve for x
    x = 5,297,441.18/2,427.61
  6. Step 6: Final answer
    x = 2,182.16

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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.