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Finding the Fourth Proportional to 3,301.86, 4,950.90 and 1,353

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Solution

The fourth proportional to 3,301.86, 4,950.90 and 1,353 is: 2,028.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.86 : 4,950.90 = 1,353 : x
  2. Step 2: Convert to fraction form
    3,301.86/4,950.90 = 1,353/x
  3. Step 3: Cross multiply
    3,301.86x = 4,950.90 × 1,353
  4. Step 4: Simplify right side
    3,301.86x = 6,698,567.70
  5. Step 5: Solve for x
    x = 6,698,567.70/3,301.86
  6. Step 6: Final answer
    x = 2,028.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.