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Finding the Fourth Proportional to 1,743.15, 2,405.58 and 997.17

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Solution

The fourth proportional to 1,743.15, 2,405.58 and 997.17 is: 1,376.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.15 : 2,405.58 = 997.17 : x
  2. Step 2: Convert to fraction form
    1,743.15/2,405.58 = 997.17/x
  3. Step 3: Cross multiply
    1,743.15x = 2,405.58 × 997.17
  4. Step 4: Simplify right side
    1,743.15x = 2,398,767.22
  5. Step 5: Solve for x
    x = 2,398,767.22/1,743.15
  6. Step 6: Final answer
    x = 1,376.11

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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.