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Finding the Fourth Proportional to 2,877.80, 3,970.98 and 1,682.60

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Solution

The fourth proportional to 2,877.80, 3,970.98 and 1,682.60 is: 2,321.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.80 : 3,970.98 = 1,682.60 : x
  2. Step 2: Convert to fraction form
    2,877.80/3,970.98 = 1,682.60/x
  3. Step 3: Cross multiply
    2,877.80x = 3,970.98 × 1,682.60
  4. Step 4: Simplify right side
    2,877.80x = 6,681,570.95
  5. Step 5: Solve for x
    x = 6,681,570.95/2,877.80
  6. Step 6: Final answer
    x = 2,321.76

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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.