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Finding the Fourth Proportional to 1,519.18, 2,278.70 and 870.37

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Solution

The fourth proportional to 1,519.18, 2,278.70 and 870.37 is: 1,305.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.18 : 2,278.70 = 870.37 : x
  2. Step 2: Convert to fraction form
    1,519.18/2,278.70 = 870.37/x
  3. Step 3: Cross multiply
    1,519.18x = 2,278.70 × 870.37
  4. Step 4: Simplify right side
    1,519.18x = 1,983,305.33
  5. Step 5: Solve for x
    x = 1,983,305.33/1,519.18
  6. Step 6: Final answer
    x = 1,305.51

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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.