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Finding the Fourth Proportional to 2,595.78, 3,891.46 and 1,133.84

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Solution

The fourth proportional to 2,595.78, 3,891.46 and 1,133.84 is: 1,699.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.78 : 3,891.46 = 1,133.84 : x
  2. Step 2: Convert to fraction form
    2,595.78/3,891.46 = 1,133.84/x
  3. Step 3: Cross multiply
    2,595.78x = 3,891.46 × 1,133.84
  4. Step 4: Simplify right side
    2,595.78x = 4,412,293.01
  5. Step 5: Solve for x
    x = 4,412,293.01/2,595.78
  6. Step 6: Final answer
    x = 1,699.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.