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Finding the Fourth Proportional to 2,947, 4,419.15 and 1,097.68

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Solution

The fourth proportional to 2,947, 4,419.15 and 1,097.68 is: 1,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947 : 4,419.15 = 1,097.68 : x
  2. Step 2: Convert to fraction form
    2,947/4,419.15 = 1,097.68/x
  3. Step 3: Cross multiply
    2,947x = 4,419.15 × 1,097.68
  4. Step 4: Simplify right side
    2,947x = 4,850,812.57
  5. Step 5: Solve for x
    x = 4,850,812.57/2,947
  6. Step 6: Final answer
    x = 1,646.02

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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.