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Finding the Fourth Proportional to 2,863.98, 4,295.34 and 989.76

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Solution

The fourth proportional to 2,863.98, 4,295.34 and 989.76 is: 1,484.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.98 : 4,295.34 = 989.76 : x
  2. Step 2: Convert to fraction form
    2,863.98/4,295.34 = 989.76/x
  3. Step 3: Cross multiply
    2,863.98x = 4,295.34 × 989.76
  4. Step 4: Simplify right side
    2,863.98x = 4,251,355.72
  5. Step 5: Solve for x
    x = 4,251,355.72/2,863.98
  6. Step 6: Final answer
    x = 1,484.42

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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.