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Finding the Fourth Proportional to 2,085.71, 2,878.26 and 1,141.49

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Solution

The fourth proportional to 2,085.71, 2,878.26 and 1,141.49 is: 1,575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.71 : 2,878.26 = 1,141.49 : x
  2. Step 2: Convert to fraction form
    2,085.71/2,878.26 = 1,141.49/x
  3. Step 3: Cross multiply
    2,085.71x = 2,878.26 × 1,141.49
  4. Step 4: Simplify right side
    2,085.71x = 3,285,505.01
  5. Step 5: Solve for x
    x = 3,285,505.01/2,085.71
  6. Step 6: Final answer
    x = 1,575.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.