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Finding the Fourth Proportional to 1,377.24, 1,895.03 and 1,344.43

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Solution

The fourth proportional to 1,377.24, 1,895.03 and 1,344.43 is: 1,849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.24 : 1,895.03 = 1,344.43 : x
  2. Step 2: Convert to fraction form
    1,377.24/1,895.03 = 1,344.43/x
  3. Step 3: Cross multiply
    1,377.24x = 1,895.03 × 1,344.43
  4. Step 4: Simplify right side
    1,377.24x = 2,547,735.87
  5. Step 5: Solve for x
    x = 2,547,735.87/1,377.24
  6. Step 6: Final answer
    x = 1,849.89

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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.