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Finding the Fourth Proportional to 2,085.91, 3,128.93 and 852.46

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Solution

The fourth proportional to 2,085.91, 3,128.93 and 852.46 is: 1,278.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.91 : 3,128.93 = 852.46 : x
  2. Step 2: Convert to fraction form
    2,085.91/3,128.93 = 852.46/x
  3. Step 3: Cross multiply
    2,085.91x = 3,128.93 × 852.46
  4. Step 4: Simplify right side
    2,085.91x = 2,667,291.98
  5. Step 5: Solve for x
    x = 2,667,291.98/2,085.91
  6. Step 6: Final answer
    x = 1,278.72

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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.