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Finding the Fourth Proportional to 3,294.69, 4,941.15 and 1,346.51

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Solution

The fourth proportional to 3,294.69, 4,941.15 and 1,346.51 is: 2,019.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.69 : 4,941.15 = 1,346.51 : x
  2. Step 2: Convert to fraction form
    3,294.69/4,941.15 = 1,346.51/x
  3. Step 3: Cross multiply
    3,294.69x = 4,941.15 × 1,346.51
  4. Step 4: Simplify right side
    3,294.69x = 6,653,283.18
  5. Step 5: Solve for x
    x = 6,653,283.18/3,294.69
  6. Step 6: Final answer
    x = 2,019.40

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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.