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Finding the Fourth Proportional to 1,695.34, 2,542.92 and 541

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Solution

The fourth proportional to 1,695.34, 2,542.92 and 541 is: 811.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.34 : 2,542.92 = 541 : x
  2. Step 2: Convert to fraction form
    1,695.34/2,542.92 = 541/x
  3. Step 3: Cross multiply
    1,695.34x = 2,542.92 × 541
  4. Step 4: Simplify right side
    1,695.34x = 1,375,719.72
  5. Step 5: Solve for x
    x = 1,375,719.72/1,695.34
  6. Step 6: Final answer
    x = 811.47

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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.