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Finding the Fourth Proportional to 2,085.77, 2,873.35 and 1,754.21

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Solution

The fourth proportional to 2,085.77, 2,873.35 and 1,754.21 is: 2,416.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.77 : 2,873.35 = 1,754.21 : x
  2. Step 2: Convert to fraction form
    2,085.77/2,873.35 = 1,754.21/x
  3. Step 3: Cross multiply
    2,085.77x = 2,873.35 × 1,754.21
  4. Step 4: Simplify right side
    2,085.77x = 5,040,459.30
  5. Step 5: Solve for x
    x = 5,040,459.30/2,085.77
  6. Step 6: Final answer
    x = 2,416.59

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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.