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Finding the Fourth Proportional to 2,829.93, 3,898.33 and 2,408.93

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Solution

The fourth proportional to 2,829.93, 3,898.33 and 2,408.93 is: 3,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.93 : 3,898.33 = 2,408.93 : x
  2. Step 2: Convert to fraction form
    2,829.93/3,898.33 = 2,408.93/x
  3. Step 3: Cross multiply
    2,829.93x = 3,898.33 × 2,408.93
  4. Step 4: Simplify right side
    2,829.93x = 9,390,793.19
  5. Step 5: Solve for x
    x = 9,390,793.19/2,829.93
  6. Step 6: Final answer
    x = 3,318.39

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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.