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Finding the Fourth Proportional to 2,324.27, 3,486.59 and 592.88

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Solution

The fourth proportional to 2,324.27, 3,486.59 and 592.88 is: 889.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.27 : 3,486.59 = 592.88 : x
  2. Step 2: Convert to fraction form
    2,324.27/3,486.59 = 592.88/x
  3. Step 3: Cross multiply
    2,324.27x = 3,486.59 × 592.88
  4. Step 4: Simplify right side
    2,324.27x = 2,067,109.08
  5. Step 5: Solve for x
    x = 2,067,109.08/2,324.27
  6. Step 6: Final answer
    x = 889.36

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1.5x scale

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.