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Finding the Fourth Proportional to 1,742.31, 2,404.40 and 956.37

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Solution

The fourth proportional to 1,742.31, 2,404.40 and 956.37 is: 1,319.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.31 : 2,404.40 = 956.37 : x
  2. Step 2: Convert to fraction form
    1,742.31/2,404.40 = 956.37/x
  3. Step 3: Cross multiply
    1,742.31x = 2,404.40 × 956.37
  4. Step 4: Simplify right side
    1,742.31x = 2,299,496.03
  5. Step 5: Solve for x
    x = 2,299,496.03/1,742.31
  6. Step 6: Final answer
    x = 1,319.80

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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.