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Finding the Fourth Proportional to 2,016.74, 2,782.60 and 1,230.50

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Solution

The fourth proportional to 2,016.74, 2,782.60 and 1,230.50 is: 1,697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.74 : 2,782.60 = 1,230.50 : x
  2. Step 2: Convert to fraction form
    2,016.74/2,782.60 = 1,230.50/x
  3. Step 3: Cross multiply
    2,016.74x = 2,782.60 × 1,230.50
  4. Step 4: Simplify right side
    2,016.74x = 3,423,972.31
  5. Step 5: Solve for x
    x = 3,423,972.31/2,016.74
  6. Step 6: Final answer
    x = 1,697.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.