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Finding the Fourth Proportional to 2,085.12, 3,126.96 and 785.52

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Solution

The fourth proportional to 2,085.12, 3,126.96 and 785.52 is: 1,178.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.12 : 3,126.96 = 785.52 : x
  2. Step 2: Convert to fraction form
    2,085.12/3,126.96 = 785.52/x
  3. Step 3: Cross multiply
    2,085.12x = 3,126.96 × 785.52
  4. Step 4: Simplify right side
    2,085.12x = 2,456,289.62
  5. Step 5: Solve for x
    x = 2,456,289.62/2,085.12
  6. Step 6: Final answer
    x = 1,178.01

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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.