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Finding the Fourth Proportional to 1,743.04, 2,405.14 and 997

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Solution

The fourth proportional to 1,743.04, 2,405.14 and 997 is: 1,375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.04 : 2,405.14 = 997 : x
  2. Step 2: Convert to fraction form
    1,743.04/2,405.14 = 997/x
  3. Step 3: Cross multiply
    1,743.04x = 2,405.14 × 997
  4. Step 4: Simplify right side
    1,743.04x = 2,397,924.58
  5. Step 5: Solve for x
    x = 2,397,924.58/1,743.04
  6. Step 6: Final answer
    x = 1,375.71

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Why These Related Problems?

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