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Finding the Fourth Proportional to 2,365.12, 3,545.25 and 903.88

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Solution

The fourth proportional to 2,365.12, 3,545.25 and 903.88 is: 1,354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.12 : 3,545.25 = 903.88 : x
  2. Step 2: Convert to fraction form
    2,365.12/3,545.25 = 903.88/x
  3. Step 3: Cross multiply
    2,365.12x = 3,545.25 × 903.88
  4. Step 4: Simplify right side
    2,365.12x = 3,204,480.57
  5. Step 5: Solve for x
    x = 3,204,480.57/2,365.12
  6. Step 6: Final answer
    x = 1,354.89

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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.