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Finding the Fourth Proportional to 2,336, 3,223.68 and 1,288.16

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Solution

The fourth proportional to 2,336, 3,223.68 and 1,288.16 is: 1,777.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336 : 3,223.68 = 1,288.16 : x
  2. Step 2: Convert to fraction form
    2,336/3,223.68 = 1,288.16/x
  3. Step 3: Cross multiply
    2,336x = 3,223.68 × 1,288.16
  4. Step 4: Simplify right side
    2,336x = 4,152,615.63
  5. Step 5: Solve for x
    x = 4,152,615.63/2,336
  6. Step 6: Final answer
    x = 1,777.66

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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.