Home / 1,552.28-2,329.14-974.84

Finding the Fourth Proportional to 1,552.28, 2,329.14 and 974.84

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Solution

The fourth proportional to 1,552.28, 2,329.14 and 974.84 is: 1,462.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.28 : 2,329.14 = 974.84 : x
  2. Step 2: Convert to fraction form
    1,552.28/2,329.14 = 974.84/x
  3. Step 3: Cross multiply
    1,552.28x = 2,329.14 × 974.84
  4. Step 4: Simplify right side
    1,552.28x = 2,270,538.84
  5. Step 5: Solve for x
    x = 2,270,538.84/1,552.28
  6. Step 6: Final answer
    x = 1,462.71

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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.