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Finding the Fourth Proportional to 2,357.85, 3,536.33 and 2,240.78

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Solution

The fourth proportional to 2,357.85, 3,536.33 and 2,240.78 is: 3,360.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.85 : 3,536.33 = 2,240.78 : x
  2. Step 2: Convert to fraction form
    2,357.85/3,536.33 = 2,240.78/x
  3. Step 3: Cross multiply
    2,357.85x = 3,536.33 × 2,240.78
  4. Step 4: Simplify right side
    2,357.85x = 7,924,108.65
  5. Step 5: Solve for x
    x = 7,924,108.65/2,357.85
  6. Step 6: Final answer
    x = 3,360.73

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