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Finding the Fourth Proportional to 2,536.98, 3,502.11 and 1,542.58

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Solution

The fourth proportional to 2,536.98, 3,502.11 and 1,542.58 is: 2,129.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.98 : 3,502.11 = 1,542.58 : x
  2. Step 2: Convert to fraction form
    2,536.98/3,502.11 = 1,542.58/x
  3. Step 3: Cross multiply
    2,536.98x = 3,502.11 × 1,542.58
  4. Step 4: Simplify right side
    2,536.98x = 5,402,279.94
  5. Step 5: Solve for x
    x = 5,402,279.94/2,536.98
  6. Step 6: Final answer
    x = 2,129.41

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1.5x scale

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.