Home / 1,923.38-2,882.28-1,045.14

Finding the Fourth Proportional to 1,923.38, 2,882.28 and 1,045.14

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Solution

The fourth proportional to 1,923.38, 2,882.28 and 1,045.14 is: 1,566.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.38 : 2,882.28 = 1,045.14 : x
  2. Step 2: Convert to fraction form
    1,923.38/2,882.28 = 1,045.14/x
  3. Step 3: Cross multiply
    1,923.38x = 2,882.28 × 1,045.14
  4. Step 4: Simplify right side
    1,923.38x = 3,012,371.71
  5. Step 5: Solve for x
    x = 3,012,371.71/1,923.38
  6. Step 6: Final answer
    x = 1,566.19

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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.