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Finding the Fourth Proportional to 2,388, 3,288.60 and 2,337.12

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Solution

The fourth proportional to 2,388, 3,288.60 and 2,337.12 is: 3,218.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388 : 3,288.60 = 2,337.12 : x
  2. Step 2: Convert to fraction form
    2,388/3,288.60 = 2,337.12/x
  3. Step 3: Cross multiply
    2,388x = 3,288.60 × 2,337.12
  4. Step 4: Simplify right side
    2,388x = 7,685,852.83
  5. Step 5: Solve for x
    x = 7,685,852.83/2,388
  6. Step 6: Final answer
    x = 3,218.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.