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Finding the Fourth Proportional to 1,438.72, 1,986.38 and 1,106.54

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Solution

The fourth proportional to 1,438.72, 1,986.38 and 1,106.54 is: 1,527.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.72 : 1,986.38 = 1,106.54 : x
  2. Step 2: Convert to fraction form
    1,438.72/1,986.38 = 1,106.54/x
  3. Step 3: Cross multiply
    1,438.72x = 1,986.38 × 1,106.54
  4. Step 4: Simplify right side
    1,438.72x = 2,198,008.93
  5. Step 5: Solve for x
    x = 2,198,008.93/1,438.72
  6. Step 6: Final answer
    x = 1,527.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.