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Finding the Fourth Proportional to 1,928.38, 2,663.13 and 1,455.49

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Solution

The fourth proportional to 1,928.38, 2,663.13 and 1,455.49 is: 2,010.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.38 : 2,663.13 = 1,455.49 : x
  2. Step 2: Convert to fraction form
    1,928.38/2,663.13 = 1,455.49/x
  3. Step 3: Cross multiply
    1,928.38x = 2,663.13 × 1,455.49
  4. Step 4: Simplify right side
    1,928.38x = 3,876,167.17
  5. Step 5: Solve for x
    x = 3,876,167.17/1,928.38
  6. Step 6: Final answer
    x = 2,010.07

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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.