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Finding the Fourth Proportional to 1,392.31, 1,919.05 and 1,111.65

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Solution

The fourth proportional to 1,392.31, 1,919.05 and 1,111.65 is: 1,532.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.31 : 1,919.05 = 1,111.65 : x
  2. Step 2: Convert to fraction form
    1,392.31/1,919.05 = 1,111.65/x
  3. Step 3: Cross multiply
    1,392.31x = 1,919.05 × 1,111.65
  4. Step 4: Simplify right side
    1,392.31x = 2,133,311.93
  5. Step 5: Solve for x
    x = 2,133,311.93/1,392.31
  6. Step 6: Final answer
    x = 1,532.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.