Home / 2,565.24-3,844.35-1,102.38

Finding the Fourth Proportional to 2,565.24, 3,844.35 and 1,102.38

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Solution

The fourth proportional to 2,565.24, 3,844.35 and 1,102.38 is: 1,652.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.24 : 3,844.35 = 1,102.38 : x
  2. Step 2: Convert to fraction form
    2,565.24/3,844.35 = 1,102.38/x
  3. Step 3: Cross multiply
    2,565.24x = 3,844.35 × 1,102.38
  4. Step 4: Simplify right side
    2,565.24x = 4,237,934.55
  5. Step 5: Solve for x
    x = 4,237,934.55/2,565.24
  6. Step 6: Final answer
    x = 1,652.06

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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.