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Finding the Fourth Proportional to 2,823.88, 4,234.80 and 974.44

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Solution

The fourth proportional to 2,823.88, 4,234.80 and 974.44 is: 1,461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.88 : 4,234.80 = 974.44 : x
  2. Step 2: Convert to fraction form
    2,823.88/4,234.80 = 974.44/x
  3. Step 3: Cross multiply
    2,823.88x = 4,234.80 × 974.44
  4. Step 4: Simplify right side
    2,823.88x = 4,126,558.51
  5. Step 5: Solve for x
    x = 4,126,558.51/2,823.88
  6. Step 6: Final answer
    x = 1,461.31

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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.