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Finding the Fourth Proportional to 2,076, 2,864.93 and 1,144.50

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Solution

The fourth proportional to 2,076, 2,864.93 and 1,144.50 is: 1,579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076 : 2,864.93 = 1,144.50 : x
  2. Step 2: Convert to fraction form
    2,076/2,864.93 = 1,144.50/x
  3. Step 3: Cross multiply
    2,076x = 2,864.93 × 1,144.50
  4. Step 4: Simplify right side
    2,076x = 3,278,906.66
  5. Step 5: Solve for x
    x = 3,278,906.66/2,076
  6. Step 6: Final answer
    x = 1,579.43

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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.