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Finding the Fourth Proportional to 2,681.70, 4,023.52 and 1,200.80

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Solution

The fourth proportional to 2,681.70, 4,023.52 and 1,200.80 is: 1,801.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.70 : 4,023.52 = 1,200.80 : x
  2. Step 2: Convert to fraction form
    2,681.70/4,023.52 = 1,200.80/x
  3. Step 3: Cross multiply
    2,681.70x = 4,023.52 × 1,200.80
  4. Step 4: Simplify right side
    2,681.70x = 4,831,436.81
  5. Step 5: Solve for x
    x = 4,831,436.81/2,681.70
  6. Step 6: Final answer
    x = 1,801.63

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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.