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Finding the Fourth Proportional to 2,156.70, 3,235.80 and 1,061.83

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Solution

The fourth proportional to 2,156.70, 3,235.80 and 1,061.83 is: 1,593.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.70 : 3,235.80 = 1,061.83 : x
  2. Step 2: Convert to fraction form
    2,156.70/3,235.80 = 1,061.83/x
  3. Step 3: Cross multiply
    2,156.70x = 3,235.80 × 1,061.83
  4. Step 4: Simplify right side
    2,156.70x = 3,435,866.95
  5. Step 5: Solve for x
    x = 3,435,866.95/2,156.70
  6. Step 6: Final answer
    x = 1,593.12

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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.