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Finding the Fourth Proportional to 2,649.02, 3,974.20 and 1,870.55

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Solution

The fourth proportional to 2,649.02, 3,974.20 and 1,870.55 is: 2,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.02 : 3,974.20 = 1,870.55 : x
  2. Step 2: Convert to fraction form
    2,649.02/3,974.20 = 1,870.55/x
  3. Step 3: Cross multiply
    2,649.02x = 3,974.20 × 1,870.55
  4. Step 4: Simplify right side
    2,649.02x = 7,433,936.91
  5. Step 5: Solve for x
    x = 7,433,936.91/2,649.02
  6. Step 6: Final answer
    x = 2,806.29

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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.