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Finding the Fourth Proportional to 2,085.52, 2,873.01 and 1,753.96

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Solution

The fourth proportional to 2,085.52, 2,873.01 and 1,753.96 is: 2,416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.52 : 2,873.01 = 1,753.96 : x
  2. Step 2: Convert to fraction form
    2,085.52/2,873.01 = 1,753.96/x
  3. Step 3: Cross multiply
    2,085.52x = 2,873.01 × 1,753.96
  4. Step 4: Simplify right side
    2,085.52x = 5,039,144.62
  5. Step 5: Solve for x
    x = 5,039,144.62/2,085.52
  6. Step 6: Final answer
    x = 2,416.25

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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.