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Finding the Fourth Proportional to 2,823.87, 4,234.78 and 974.50

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Solution

The fourth proportional to 2,823.87, 4,234.78 and 974.50 is: 1,461.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.87 : 4,234.78 = 974.50 : x
  2. Step 2: Convert to fraction form
    2,823.87/4,234.78 = 974.50/x
  3. Step 3: Cross multiply
    2,823.87x = 4,234.78 × 974.50
  4. Step 4: Simplify right side
    2,823.87x = 4,126,793.11
  5. Step 5: Solve for x
    x = 4,126,793.11/2,823.87
  6. Step 6: Final answer
    x = 1,461.40

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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.