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Finding the Fourth Proportional to 2,832.47, 3,908.82 and 1,590.47

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Solution

The fourth proportional to 2,832.47, 3,908.82 and 1,590.47 is: 2,194.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.47 : 3,908.82 = 1,590.47 : x
  2. Step 2: Convert to fraction form
    2,832.47/3,908.82 = 1,590.47/x
  3. Step 3: Cross multiply
    2,832.47x = 3,908.82 × 1,590.47
  4. Step 4: Simplify right side
    2,832.47x = 6,216,862.02
  5. Step 5: Solve for x
    x = 6,216,862.02/2,832.47
  6. Step 6: Final answer
    x = 2,194.86

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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.