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Finding the Fourth Proportional to 2,512.60, 3,768.76 and 1,210.12

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Solution

The fourth proportional to 2,512.60, 3,768.76 and 1,210.12 is: 1,815.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.60 : 3,768.76 = 1,210.12 : x
  2. Step 2: Convert to fraction form
    2,512.60/3,768.76 = 1,210.12/x
  3. Step 3: Cross multiply
    2,512.60x = 3,768.76 × 1,210.12
  4. Step 4: Simplify right side
    2,512.60x = 4,560,651.85
  5. Step 5: Solve for x
    x = 4,560,651.85/2,512.60
  6. Step 6: Final answer
    x = 1,815.11

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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.