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Finding the Fourth Proportional to 2,658.05, 3,667.49 and 1,538.95

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Solution

The fourth proportional to 2,658.05, 3,667.49 and 1,538.95 is: 2,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.05 : 3,667.49 = 1,538.95 : x
  2. Step 2: Convert to fraction form
    2,658.05/3,667.49 = 1,538.95/x
  3. Step 3: Cross multiply
    2,658.05x = 3,667.49 × 1,538.95
  4. Step 4: Simplify right side
    2,658.05x = 5,644,083.74
  5. Step 5: Solve for x
    x = 5,644,083.74/2,658.05
  6. Step 6: Final answer
    x = 2,123.39

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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.