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Finding the Fourth Proportional to 2,150.74, 3,228.12 and 1,420.78

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Solution

The fourth proportional to 2,150.74, 3,228.12 and 1,420.78 is: 2,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.74 : 3,228.12 = 1,420.78 : x
  2. Step 2: Convert to fraction form
    2,150.74/3,228.12 = 1,420.78/x
  3. Step 3: Cross multiply
    2,150.74x = 3,228.12 × 1,420.78
  4. Step 4: Simplify right side
    2,150.74x = 4,586,448.33
  5. Step 5: Solve for x
    x = 4,586,448.33/2,150.74
  6. Step 6: Final answer
    x = 2,132.50

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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.