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Finding the Fourth Proportional to 2,085.59, 2,878.07 and 1,154.09

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Solution

The fourth proportional to 2,085.59, 2,878.07 and 1,154.09 is: 1,592.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.59 : 2,878.07 = 1,154.09 : x
  2. Step 2: Convert to fraction form
    2,085.59/2,878.07 = 1,154.09/x
  3. Step 3: Cross multiply
    2,085.59x = 2,878.07 × 1,154.09
  4. Step 4: Simplify right side
    2,085.59x = 3,321,540.30
  5. Step 5: Solve for x
    x = 3,321,540.30/2,085.59
  6. Step 6: Final answer
    x = 1,592.62

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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.