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Finding the Fourth Proportional to 3,109.33, 4,664.30 and 918.68

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Solution

The fourth proportional to 3,109.33, 4,664.30 and 918.68 is: 1,378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.33 : 4,664.30 = 918.68 : x
  2. Step 2: Convert to fraction form
    3,109.33/4,664.30 = 918.68/x
  3. Step 3: Cross multiply
    3,109.33x = 4,664.30 × 918.68
  4. Step 4: Simplify right side
    3,109.33x = 4,284,994.53
  5. Step 5: Solve for x
    x = 4,284,994.53/3,109.33
  6. Step 6: Final answer
    x = 1,378.11

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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.