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Finding the Fourth Proportional to 1,758.74, 2,427.16 and 972.86

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Solution

The fourth proportional to 1,758.74, 2,427.16 and 972.86 is: 1,342.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.74 : 2,427.16 = 972.86 : x
  2. Step 2: Convert to fraction form
    1,758.74/2,427.16 = 972.86/x
  3. Step 3: Cross multiply
    1,758.74x = 2,427.16 × 972.86
  4. Step 4: Simplify right side
    1,758.74x = 2,361,286.88
  5. Step 5: Solve for x
    x = 2,361,286.88/1,758.74
  6. Step 6: Final answer
    x = 1,342.60

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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.