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Finding the Fourth Proportional to 2,085.93, 3,126.36 and 852.69

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Solution

The fourth proportional to 2,085.93, 3,126.36 and 852.69 is: 1,278.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.93 : 3,126.36 = 852.69 : x
  2. Step 2: Convert to fraction form
    2,085.93/3,126.36 = 852.69/x
  3. Step 3: Cross multiply
    2,085.93x = 3,126.36 × 852.69
  4. Step 4: Simplify right side
    2,085.93x = 2,665,815.91
  5. Step 5: Solve for x
    x = 2,665,815.91/2,085.93
  6. Step 6: Final answer
    x = 1,278.00

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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.