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Finding the Fourth Proportional to 2,086, 2,878.74 and 1,154.56

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Solution

The fourth proportional to 2,086, 2,878.74 and 1,154.56 is: 1,593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086 : 2,878.74 = 1,154.56 : x
  2. Step 2: Convert to fraction form
    2,086/2,878.74 = 1,154.56/x
  3. Step 3: Cross multiply
    2,086x = 2,878.74 × 1,154.56
  4. Step 4: Simplify right side
    2,086x = 3,323,678.05
  5. Step 5: Solve for x
    x = 3,323,678.05/2,086
  6. Step 6: Final answer
    x = 1,593.33

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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.