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Finding the Fourth Proportional to 3,109.41, 4,664.38 and 888.28

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Solution

The fourth proportional to 3,109.41, 4,664.38 and 888.28 is: 1,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.41 : 4,664.38 = 888.28 : x
  2. Step 2: Convert to fraction form
    3,109.41/4,664.38 = 888.28/x
  3. Step 3: Cross multiply
    3,109.41x = 4,664.38 × 888.28
  4. Step 4: Simplify right side
    3,109.41x = 4,143,263.25
  5. Step 5: Solve for x
    x = 4,143,263.25/3,109.41
  6. Step 6: Final answer
    x = 1,332.49

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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.