Home / 1,507.41-2,262.28-674.73

Finding the Fourth Proportional to 1,507.41, 2,262.28 and 674.73

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Solution

The fourth proportional to 1,507.41, 2,262.28 and 674.73 is: 1,012.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.41 : 2,262.28 = 674.73 : x
  2. Step 2: Convert to fraction form
    1,507.41/2,262.28 = 674.73/x
  3. Step 3: Cross multiply
    1,507.41x = 2,262.28 × 674.73
  4. Step 4: Simplify right side
    1,507.41x = 1,526,428.18
  5. Step 5: Solve for x
    x = 1,526,428.18/1,507.41
  6. Step 6: Final answer
    x = 1,012.62

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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.