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Finding the Fourth Proportional to 1,967.41, 2,948.14 and 1,419.04

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Solution

The fourth proportional to 1,967.41, 2,948.14 and 1,419.04 is: 2,126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.41 : 2,948.14 = 1,419.04 : x
  2. Step 2: Convert to fraction form
    1,967.41/2,948.14 = 1,419.04/x
  3. Step 3: Cross multiply
    1,967.41x = 2,948.14 × 1,419.04
  4. Step 4: Simplify right side
    1,967.41x = 4,183,528.59
  5. Step 5: Solve for x
    x = 4,183,528.59/1,967.41
  6. Step 6: Final answer
    x = 2,126.41

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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.