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Finding the Fourth Proportional to 1,519.74, 2,097.22 and 856.57

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Solution

The fourth proportional to 1,519.74, 2,097.22 and 856.57 is: 1,182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.74 : 2,097.22 = 856.57 : x
  2. Step 2: Convert to fraction form
    1,519.74/2,097.22 = 856.57/x
  3. Step 3: Cross multiply
    1,519.74x = 2,097.22 × 856.57
  4. Step 4: Simplify right side
    1,519.74x = 1,796,415.74
  5. Step 5: Solve for x
    x = 1,796,415.74/1,519.74
  6. Step 6: Final answer
    x = 1,182.05

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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.