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Finding the Fourth Proportional to 1,697.28, 2,543.70 and 1,476.96

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Solution

The fourth proportional to 1,697.28, 2,543.70 and 1,476.96 is: 2,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.28 : 2,543.70 = 1,476.96 : x
  2. Step 2: Convert to fraction form
    1,697.28/2,543.70 = 1,476.96/x
  3. Step 3: Cross multiply
    1,697.28x = 2,543.70 × 1,476.96
  4. Step 4: Simplify right side
    1,697.28x = 3,756,943.15
  5. Step 5: Solve for x
    x = 3,756,943.15/1,697.28
  6. Step 6: Final answer
    x = 2,213.51

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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.