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Finding the Fourth Proportional to 1,923.04, 2,882.45 and 752.69

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Solution

The fourth proportional to 1,923.04, 2,882.45 and 752.69 is: 1,128.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.04 : 2,882.45 = 752.69 : x
  2. Step 2: Convert to fraction form
    1,923.04/2,882.45 = 752.69/x
  3. Step 3: Cross multiply
    1,923.04x = 2,882.45 × 752.69
  4. Step 4: Simplify right side
    1,923.04x = 2,169,600.38
  5. Step 5: Solve for x
    x = 2,169,600.38/1,923.04
  6. Step 6: Final answer
    x = 1,128.21

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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.