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Finding the Fourth Proportional to 2,770.32, 3,822.12 and 1,590.54

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Solution

The fourth proportional to 2,770.32, 3,822.12 and 1,590.54 is: 2,194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.32 : 3,822.12 = 1,590.54 : x
  2. Step 2: Convert to fraction form
    2,770.32/3,822.12 = 1,590.54/x
  3. Step 3: Cross multiply
    2,770.32x = 3,822.12 × 1,590.54
  4. Step 4: Simplify right side
    2,770.32x = 6,079,234.74
  5. Step 5: Solve for x
    x = 6,079,234.74/2,770.32
  6. Step 6: Final answer
    x = 2,194.42

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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.