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Finding the Fourth Proportional to 2,315.70, 3,195.66 and 1,267.78

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Solution

The fourth proportional to 2,315.70, 3,195.66 and 1,267.78 is: 1,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.70 : 3,195.66 = 1,267.78 : x
  2. Step 2: Convert to fraction form
    2,315.70/3,195.66 = 1,267.78/x
  3. Step 3: Cross multiply
    2,315.70x = 3,195.66 × 1,267.78
  4. Step 4: Simplify right side
    2,315.70x = 4,051,393.83
  5. Step 5: Solve for x
    x = 4,051,393.83/2,315.70
  6. Step 6: Final answer
    x = 1,749.54

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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.