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Finding the Fourth Proportional to 1,614.88, 2,422.80 and 1,428.07

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Solution

The fourth proportional to 1,614.88, 2,422.80 and 1,428.07 is: 2,142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.88 : 2,422.80 = 1,428.07 : x
  2. Step 2: Convert to fraction form
    1,614.88/2,422.80 = 1,428.07/x
  3. Step 3: Cross multiply
    1,614.88x = 2,422.80 × 1,428.07
  4. Step 4: Simplify right side
    1,614.88x = 3,459,928.00
  5. Step 5: Solve for x
    x = 3,459,928.00/1,614.88
  6. Step 6: Final answer
    x = 2,142.53

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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.