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Finding the Fourth Proportional to 2,427.63, 3,349.99 and 1,432.68

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Solution

The fourth proportional to 2,427.63, 3,349.99 and 1,432.68 is: 1,977.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.63 : 3,349.99 = 1,432.68 : x
  2. Step 2: Convert to fraction form
    2,427.63/3,349.99 = 1,432.68/x
  3. Step 3: Cross multiply
    2,427.63x = 3,349.99 × 1,432.68
  4. Step 4: Simplify right side
    2,427.63x = 4,799,463.67
  5. Step 5: Solve for x
    x = 4,799,463.67/2,427.63
  6. Step 6: Final answer
    x = 1,977.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.