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Finding the Fourth Proportional to 2,357.29, 3,535.48 and 2,240.21

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Solution

The fourth proportional to 2,357.29, 3,535.48 and 2,240.21 is: 3,359.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.29 : 3,535.48 = 2,240.21 : x
  2. Step 2: Convert to fraction form
    2,357.29/3,535.48 = 2,240.21/x
  3. Step 3: Cross multiply
    2,357.29x = 3,535.48 × 2,240.21
  4. Step 4: Simplify right side
    2,357.29x = 7,920,229.29
  5. Step 5: Solve for x
    x = 7,920,229.29/2,357.29
  6. Step 6: Final answer
    x = 3,359.89

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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.