Home / 2,546.85-3,514.45-1,552

Finding the Fourth Proportional to 2,546.85, 3,514.45 and 1,552

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Solution

The fourth proportional to 2,546.85, 3,514.45 and 1,552 is: 2,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.85 : 3,514.45 = 1,552 : x
  2. Step 2: Convert to fraction form
    2,546.85/3,514.45 = 1,552/x
  3. Step 3: Cross multiply
    2,546.85x = 3,514.45 × 1,552
  4. Step 4: Simplify right side
    2,546.85x = 5,454,426.40
  5. Step 5: Solve for x
    x = 5,454,426.40/2,546.85
  6. Step 6: Final answer
    x = 2,141.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.