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Finding the Fourth Proportional to 2,315.78, 3,195.78 and 1,267.84

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Solution

The fourth proportional to 2,315.78, 3,195.78 and 1,267.84 is: 1,749.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.78 : 3,195.78 = 1,267.84 : x
  2. Step 2: Convert to fraction form
    2,315.78/3,195.78 = 1,267.84/x
  3. Step 3: Cross multiply
    2,315.78x = 3,195.78 × 1,267.84
  4. Step 4: Simplify right side
    2,315.78x = 4,051,737.72
  5. Step 5: Solve for x
    x = 4,051,737.72/2,315.78
  6. Step 6: Final answer
    x = 1,749.62

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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.