Home / 2,562.04-3,843.22-1,023

Finding the Fourth Proportional to 2,562.04, 3,843.22 and 1,023

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Solution

The fourth proportional to 2,562.04, 3,843.22 and 1,023 is: 1,534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.04 : 3,843.22 = 1,023 : x
  2. Step 2: Convert to fraction form
    2,562.04/3,843.22 = 1,023/x
  3. Step 3: Cross multiply
    2,562.04x = 3,843.22 × 1,023
  4. Step 4: Simplify right side
    2,562.04x = 3,931,614.06
  5. Step 5: Solve for x
    x = 3,931,614.06/2,562.04
  6. Step 6: Final answer
    x = 1,534.56

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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.