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Finding the Fourth Proportional to 2,237.40, 3,354.01 and 775.52

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Solution

The fourth proportional to 2,237.40, 3,354.01 and 775.52 is: 1,162.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.40 : 3,354.01 = 775.52 : x
  2. Step 2: Convert to fraction form
    2,237.40/3,354.01 = 775.52/x
  3. Step 3: Cross multiply
    2,237.40x = 3,354.01 × 775.52
  4. Step 4: Simplify right side
    2,237.40x = 2,601,114.57
  5. Step 5: Solve for x
    x = 2,601,114.57/2,237.40
  6. Step 6: Final answer
    x = 1,162.56

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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.