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Finding the Fourth Proportional to 1,438.49, 2,155.86 and 1,044.49

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Solution

The fourth proportional to 1,438.49, 2,155.86 and 1,044.49 is: 1,565.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.49 : 2,155.86 = 1,044.49 : x
  2. Step 2: Convert to fraction form
    1,438.49/2,155.86 = 1,044.49/x
  3. Step 3: Cross multiply
    1,438.49x = 2,155.86 × 1,044.49
  4. Step 4: Simplify right side
    1,438.49x = 2,251,774.21
  5. Step 5: Solve for x
    x = 2,251,774.21/1,438.49
  6. Step 6: Final answer
    x = 1,565.37

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Why These Related Problems?

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