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Finding the Fourth Proportional to 3,294.39, 4,941.56 and 1,345.23

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Solution

The fourth proportional to 3,294.39, 4,941.56 and 1,345.23 is: 2,017.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.39 : 4,941.56 = 1,345.23 : x
  2. Step 2: Convert to fraction form
    3,294.39/4,941.56 = 1,345.23/x
  3. Step 3: Cross multiply
    3,294.39x = 4,941.56 × 1,345.23
  4. Step 4: Simplify right side
    3,294.39x = 6,647,522.40
  5. Step 5: Solve for x
    x = 6,647,522.40/3,294.39
  6. Step 6: Final answer
    x = 2,017.83

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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.