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Finding the Fourth Proportional to 2,470, 3,699.96 and 1,850.80

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Solution

The fourth proportional to 2,470, 3,699.96 and 1,850.80 is: 2,772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470 : 3,699.96 = 1,850.80 : x
  2. Step 2: Convert to fraction form
    2,470/3,699.96 = 1,850.80/x
  3. Step 3: Cross multiply
    2,470x = 3,699.96 × 1,850.80
  4. Step 4: Simplify right side
    2,470x = 6,847,885.97
  5. Step 5: Solve for x
    x = 6,847,885.97/2,470
  6. Step 6: Final answer
    x = 2,772.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.