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Finding the Fourth Proportional to 2,488.44, 3,430 and 1,770.86

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Solution

The fourth proportional to 2,488.44, 3,430 and 1,770.86 is: 2,440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.44 : 3,430 = 1,770.86 : x
  2. Step 2: Convert to fraction form
    2,488.44/3,430 = 1,770.86/x
  3. Step 3: Cross multiply
    2,488.44x = 3,430 × 1,770.86
  4. Step 4: Simplify right side
    2,488.44x = 6,074,049.80
  5. Step 5: Solve for x
    x = 6,074,049.80/2,488.44
  6. Step 6: Final answer
    x = 2,440.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.