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Finding the Fourth Proportional to 1,278.18, 1,912.23 and 913.86

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Solution

The fourth proportional to 1,278.18, 1,912.23 and 913.86 is: 1,367.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.18 : 1,912.23 = 913.86 : x
  2. Step 2: Convert to fraction form
    1,278.18/1,912.23 = 913.86/x
  3. Step 3: Cross multiply
    1,278.18x = 1,912.23 × 913.86
  4. Step 4: Simplify right side
    1,278.18x = 1,747,510.51
  5. Step 5: Solve for x
    x = 1,747,510.51/1,278.18
  6. Step 6: Final answer
    x = 1,367.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.