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Finding the Fourth Proportional to 3,110.71, 4,666.13 and 919.44

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Solution

The fourth proportional to 3,110.71, 4,666.13 and 919.44 is: 1,379.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110.71 : 4,666.13 = 919.44 : x
  2. Step 2: Convert to fraction form
    3,110.71/4,666.13 = 919.44/x
  3. Step 3: Cross multiply
    3,110.71x = 4,666.13 × 919.44
  4. Step 4: Simplify right side
    3,110.71x = 4,290,209.70
  5. Step 5: Solve for x
    x = 4,290,209.70/3,110.71
  6. Step 6: Final answer
    x = 1,379.17

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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.