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Finding the Fourth Proportional to 2,315.66, 3,195.68 and 1,267.71

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Solution

The fourth proportional to 2,315.66, 3,195.68 and 1,267.71 is: 1,749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.66 : 3,195.68 = 1,267.71 : x
  2. Step 2: Convert to fraction form
    2,315.66/3,195.68 = 1,267.71/x
  3. Step 3: Cross multiply
    2,315.66x = 3,195.68 × 1,267.71
  4. Step 4: Simplify right side
    2,315.66x = 4,051,189.15
  5. Step 5: Solve for x
    x = 4,051,189.15/2,315.66
  6. Step 6: Final answer
    x = 1,749.48

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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.