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Finding the Fourth Proportional to 2,076.80, 2,866.62 and 1,238.12

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Solution

The fourth proportional to 2,076.80, 2,866.62 and 1,238.12 is: 1,708.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.80 : 2,866.62 = 1,238.12 : x
  2. Step 2: Convert to fraction form
    2,076.80/2,866.62 = 1,238.12/x
  3. Step 3: Cross multiply
    2,076.80x = 2,866.62 × 1,238.12
  4. Step 4: Simplify right side
    2,076.80x = 3,549,219.55
  5. Step 5: Solve for x
    x = 3,549,219.55/2,076.80
  6. Step 6: Final answer
    x = 1,708.98

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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.