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Finding the Fourth Proportional to 2,256.91, 3,382.93 and 1,085.25

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Solution

The fourth proportional to 2,256.91, 3,382.93 and 1,085.25 is: 1,626.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.91 : 3,382.93 = 1,085.25 : x
  2. Step 2: Convert to fraction form
    2,256.91/3,382.93 = 1,085.25/x
  3. Step 3: Cross multiply
    2,256.91x = 3,382.93 × 1,085.25
  4. Step 4: Simplify right side
    2,256.91x = 3,671,324.78
  5. Step 5: Solve for x
    x = 3,671,324.78/2,256.91
  6. Step 6: Final answer
    x = 1,626.70

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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.