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Finding the Fourth Proportional to 2,084.20, 3,127.74 and 786.76

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Solution

The fourth proportional to 2,084.20, 3,127.74 and 786.76 is: 1,180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.20 : 3,127.74 = 786.76 : x
  2. Step 2: Convert to fraction form
    2,084.20/3,127.74 = 786.76/x
  3. Step 3: Cross multiply
    2,084.20x = 3,127.74 × 786.76
  4. Step 4: Simplify right side
    2,084.20x = 2,460,780.72
  5. Step 5: Solve for x
    x = 2,460,780.72/2,084.20
  6. Step 6: Final answer
    x = 1,180.68

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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.