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Finding the Fourth Proportional to 1,517.40, 2,271.90 and 1,402.56

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Solution

The fourth proportional to 1,517.40, 2,271.90 and 1,402.56 is: 2,099.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.40 : 2,271.90 = 1,402.56 : x
  2. Step 2: Convert to fraction form
    1,517.40/2,271.90 = 1,402.56/x
  3. Step 3: Cross multiply
    1,517.40x = 2,271.90 × 1,402.56
  4. Step 4: Simplify right side
    1,517.40x = 3,186,476.06
  5. Step 5: Solve for x
    x = 3,186,476.06/1,517.40
  6. Step 6: Final answer
    x = 2,099.96

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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.