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Finding the Fourth Proportional to 2,154.78, 3,233.78 and 1,459.80

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Solution

The fourth proportional to 2,154.78, 3,233.78 and 1,459.80 is: 2,190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.78 : 3,233.78 = 1,459.80 : x
  2. Step 2: Convert to fraction form
    2,154.78/3,233.78 = 1,459.80/x
  3. Step 3: Cross multiply
    2,154.78x = 3,233.78 × 1,459.80
  4. Step 4: Simplify right side
    2,154.78x = 4,720,672.04
  5. Step 5: Solve for x
    x = 4,720,672.04/2,154.78
  6. Step 6: Final answer
    x = 2,190.79

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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.