Home / 2,498.04-3,446.79-1,566

Finding the Fourth Proportional to 2,498.04, 3,446.79 and 1,566

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Solution

The fourth proportional to 2,498.04, 3,446.79 and 1,566 is: 2,160.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.04 : 3,446.79 = 1,566 : x
  2. Step 2: Convert to fraction form
    2,498.04/3,446.79 = 1,566/x
  3. Step 3: Cross multiply
    2,498.04x = 3,446.79 × 1,566
  4. Step 4: Simplify right side
    2,498.04x = 5,397,673.14
  5. Step 5: Solve for x
    x = 5,397,673.14/2,498.04
  6. Step 6: Final answer
    x = 2,160.76

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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.