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Finding the Fourth Proportional to 1,392.56, 1,919.07 and 1,019.65

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Solution

The fourth proportional to 1,392.56, 1,919.07 and 1,019.65 is: 1,405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.56 : 1,919.07 = 1,019.65 : x
  2. Step 2: Convert to fraction form
    1,392.56/1,919.07 = 1,019.65/x
  3. Step 3: Cross multiply
    1,392.56x = 1,919.07 × 1,019.65
  4. Step 4: Simplify right side
    1,392.56x = 1,956,770.13
  5. Step 5: Solve for x
    x = 1,956,770.13/1,392.56
  6. Step 6: Final answer
    x = 1,405.17

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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.