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Finding the Fourth Proportional to 2,336, 3,223.72 and 1,509.44

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Solution

The fourth proportional to 2,336, 3,223.72 and 1,509.44 is: 2,083.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336 : 3,223.72 = 1,509.44 : x
  2. Step 2: Convert to fraction form
    2,336/3,223.72 = 1,509.44/x
  3. Step 3: Cross multiply
    2,336x = 3,223.72 × 1,509.44
  4. Step 4: Simplify right side
    2,336x = 4,866,011.92
  5. Step 5: Solve for x
    x = 4,866,011.92/2,336
  6. Step 6: Final answer
    x = 2,083.05

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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.