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Finding the Fourth Proportional to 2,671.80, 4,006.62 and 940.02

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Solution

The fourth proportional to 2,671.80, 4,006.62 and 940.02 is: 1,409.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.80 : 4,006.62 = 940.02 : x
  2. Step 2: Convert to fraction form
    2,671.80/4,006.62 = 940.02/x
  3. Step 3: Cross multiply
    2,671.80x = 4,006.62 × 940.02
  4. Step 4: Simplify right side
    2,671.80x = 3,766,302.93
  5. Step 5: Solve for x
    x = 3,766,302.93/2,671.80
  6. Step 6: Final answer
    x = 1,409.65

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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.