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Finding the Fourth Proportional to 1,519.92, 2,097.54 and 856.89

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Solution

The fourth proportional to 1,519.92, 2,097.54 and 856.89 is: 1,182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.92 : 2,097.54 = 856.89 : x
  2. Step 2: Convert to fraction form
    1,519.92/2,097.54 = 856.89/x
  3. Step 3: Cross multiply
    1,519.92x = 2,097.54 × 856.89
  4. Step 4: Simplify right side
    1,519.92x = 1,797,361.05
  5. Step 5: Solve for x
    x = 1,797,361.05/1,519.92
  6. Step 6: Final answer
    x = 1,182.54

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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.