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Finding the Fourth Proportional to 3,109.92, 4,666.50 and 1,465.62

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Solution

The fourth proportional to 3,109.92, 4,666.50 and 1,465.62 is: 2,199.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.92 : 4,666.50 = 1,465.62 : x
  2. Step 2: Convert to fraction form
    3,109.92/4,666.50 = 1,465.62/x
  3. Step 3: Cross multiply
    3,109.92x = 4,666.50 × 1,465.62
  4. Step 4: Simplify right side
    3,109.92x = 6,839,315.73
  5. Step 5: Solve for x
    x = 6,839,315.73/3,109.92
  6. Step 6: Final answer
    x = 2,199.19

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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.