Home / 2,547.38-3,824.32-2,165.06

Finding the Fourth Proportional to 2,547.38, 3,824.32 and 2,165.06

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Solution

The fourth proportional to 2,547.38, 3,824.32 and 2,165.06 is: 3,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.38 : 3,824.32 = 2,165.06 : x
  2. Step 2: Convert to fraction form
    2,547.38/3,824.32 = 2,165.06/x
  3. Step 3: Cross multiply
    2,547.38x = 3,824.32 × 2,165.06
  4. Step 4: Simplify right side
    2,547.38x = 8,279,882.26
  5. Step 5: Solve for x
    x = 8,279,882.26/2,547.38
  6. Step 6: Final answer
    x = 3,250.35

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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.