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Finding the Fourth Proportional to 2,823.52, 4,234.72 and 771.04

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Solution

The fourth proportional to 2,823.52, 4,234.72 and 771.04 is: 1,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.52 : 4,234.72 = 771.04 : x
  2. Step 2: Convert to fraction form
    2,823.52/4,234.72 = 771.04/x
  3. Step 3: Cross multiply
    2,823.52x = 4,234.72 × 771.04
  4. Step 4: Simplify right side
    2,823.52x = 3,265,138.51
  5. Step 5: Solve for x
    x = 3,265,138.51/2,823.52
  6. Step 6: Final answer
    x = 1,156.41

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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.