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Finding the Fourth Proportional to 2,823.88, 4,234.78 and 974.52

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Solution

The fourth proportional to 2,823.88, 4,234.78 and 974.52 is: 1,461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.88 : 4,234.78 = 974.52 : x
  2. Step 2: Convert to fraction form
    2,823.88/4,234.78 = 974.52/x
  3. Step 3: Cross multiply
    2,823.88x = 4,234.78 × 974.52
  4. Step 4: Simplify right side
    2,823.88x = 4,126,877.81
  5. Step 5: Solve for x
    x = 4,126,877.81/2,823.88
  6. Step 6: Final answer
    x = 1,461.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.