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Finding the Fourth Proportional to 1,742.28, 2,404.31 and 956.35

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Solution

The fourth proportional to 1,742.28, 2,404.31 and 956.35 is: 1,319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.28 : 2,404.31 = 956.35 : x
  2. Step 2: Convert to fraction form
    1,742.28/2,404.31 = 956.35/x
  3. Step 3: Cross multiply
    1,742.28x = 2,404.31 × 956.35
  4. Step 4: Simplify right side
    1,742.28x = 2,299,361.87
  5. Step 5: Solve for x
    x = 2,299,361.87/1,742.28
  6. Step 6: Final answer
    x = 1,319.75

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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.