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Finding the Fourth Proportional to 2,156.10, 3,234.57 and 857.70

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Solution

The fourth proportional to 2,156.10, 3,234.57 and 857.70 is: 1,286.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.10 : 3,234.57 = 857.70 : x
  2. Step 2: Convert to fraction form
    2,156.10/3,234.57 = 857.70/x
  3. Step 3: Cross multiply
    2,156.10x = 3,234.57 × 857.70
  4. Step 4: Simplify right side
    2,156.10x = 2,774,290.69
  5. Step 5: Solve for x
    x = 2,774,290.69/2,156.10
  6. Step 6: Final answer
    x = 1,286.72

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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.