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Finding the Fourth Proportional to 1,742.95, 2,405.26 and 997.04

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Solution

The fourth proportional to 1,742.95, 2,405.26 and 997.04 is: 1,375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.95 : 2,405.26 = 997.04 : x
  2. Step 2: Convert to fraction form
    1,742.95/2,405.26 = 997.04/x
  3. Step 3: Cross multiply
    1,742.95x = 2,405.26 × 997.04
  4. Step 4: Simplify right side
    1,742.95x = 2,398,147.69
  5. Step 5: Solve for x
    x = 2,398,147.69/1,742.95
  6. Step 6: Final answer
    x = 1,375.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.