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Finding the Fourth Proportional to 2,156.73, 3,235.11 and 858.18

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Solution

The fourth proportional to 2,156.73, 3,235.11 and 858.18 is: 1,287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.73 : 3,235.11 = 858.18 : x
  2. Step 2: Convert to fraction form
    2,156.73/3,235.11 = 858.18/x
  3. Step 3: Cross multiply
    2,156.73x = 3,235.11 × 858.18
  4. Step 4: Simplify right side
    2,156.73x = 2,776,306.70
  5. Step 5: Solve for x
    x = 2,776,306.70/2,156.73
  6. Step 6: Final answer
    x = 1,287.28

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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.