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Finding the Fourth Proportional to 1,697.90, 2,543.60 and 1,147.38

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Solution

The fourth proportional to 1,697.90, 2,543.60 and 1,147.38 is: 1,718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.90 : 2,543.60 = 1,147.38 : x
  2. Step 2: Convert to fraction form
    1,697.90/2,543.60 = 1,147.38/x
  3. Step 3: Cross multiply
    1,697.90x = 2,543.60 × 1,147.38
  4. Step 4: Simplify right side
    1,697.90x = 2,918,475.77
  5. Step 5: Solve for x
    x = 2,918,475.77/1,697.90
  6. Step 6: Final answer
    x = 1,718.87

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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.