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Finding the Fourth Proportional to 2,155.26, 3,233.61 and 856.02

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Solution

The fourth proportional to 2,155.26, 3,233.61 and 856.02 is: 1,284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.26 : 3,233.61 = 856.02 : x
  2. Step 2: Convert to fraction form
    2,155.26/3,233.61 = 856.02/x
  3. Step 3: Cross multiply
    2,155.26x = 3,233.61 × 856.02
  4. Step 4: Simplify right side
    2,155.26x = 2,768,034.83
  5. Step 5: Solve for x
    x = 2,768,034.83/2,155.26
  6. Step 6: Final answer
    x = 1,284.32

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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.