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Finding the Fourth Proportional to 1,376.39, 1,900.22 and 1,044.24

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Solution

The fourth proportional to 1,376.39, 1,900.22 and 1,044.24 is: 1,441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.39 : 1,900.22 = 1,044.24 : x
  2. Step 2: Convert to fraction form
    1,376.39/1,900.22 = 1,044.24/x
  3. Step 3: Cross multiply
    1,376.39x = 1,900.22 × 1,044.24
  4. Step 4: Simplify right side
    1,376.39x = 1,984,291.42
  5. Step 5: Solve for x
    x = 1,984,291.42/1,376.39
  6. Step 6: Final answer
    x = 1,441.66

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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.