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Finding the Fourth Proportional to 2,085.35, 3,126.60 and 852.39

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Solution

The fourth proportional to 2,085.35, 3,126.60 and 852.39 is: 1,278.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.35 : 3,126.60 = 852.39 : x
  2. Step 2: Convert to fraction form
    2,085.35/3,126.60 = 852.39/x
  3. Step 3: Cross multiply
    2,085.35x = 3,126.60 × 852.39
  4. Step 4: Simplify right side
    2,085.35x = 2,665,082.57
  5. Step 5: Solve for x
    x = 2,665,082.57/2,085.35
  6. Step 6: Final answer
    x = 1,278.01

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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.