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Finding the Fourth Proportional to 1,967.97, 2,948.47 and 1,850.90

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Solution

The fourth proportional to 1,967.97, 2,948.47 and 1,850.90 is: 2,773.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.97 : 2,948.47 = 1,850.90 : x
  2. Step 2: Convert to fraction form
    1,967.97/2,948.47 = 1,850.90/x
  3. Step 3: Cross multiply
    1,967.97x = 2,948.47 × 1,850.90
  4. Step 4: Simplify right side
    1,967.97x = 5,457,315.75
  5. Step 5: Solve for x
    x = 5,457,315.75/1,967.97
  6. Step 6: Final answer
    x = 2,773.07

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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.