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Finding the Fourth Proportional to 2,256.01, 3,382.38 and 794.77

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Solution

The fourth proportional to 2,256.01, 3,382.38 and 794.77 is: 1,191.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.01 : 3,382.38 = 794.77 : x
  2. Step 2: Convert to fraction form
    2,256.01/3,382.38 = 794.77/x
  3. Step 3: Cross multiply
    2,256.01x = 3,382.38 × 794.77
  4. Step 4: Simplify right side
    2,256.01x = 2,688,214.15
  5. Step 5: Solve for x
    x = 2,688,214.15/2,256.01
  6. Step 6: Final answer
    x = 1,191.58

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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.