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Finding the Fourth Proportional to 2,323.88, 3,207 and 1,276

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Solution

The fourth proportional to 2,323.88, 3,207 and 1,276 is: 1,760.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.88 : 3,207 = 1,276 : x
  2. Step 2: Convert to fraction form
    2,323.88/3,207 = 1,276/x
  3. Step 3: Cross multiply
    2,323.88x = 3,207 × 1,276
  4. Step 4: Simplify right side
    2,323.88x = 4,092,132
  5. Step 5: Solve for x
    x = 4,092,132/2,323.88
  6. Step 6: Final answer
    x = 1,760.91

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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.