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Finding the Fourth Proportional to 1,535.94, 2,119.42 and 872.65

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Solution

The fourth proportional to 1,535.94, 2,119.42 and 872.65 is: 1,204.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.94 : 2,119.42 = 872.65 : x
  2. Step 2: Convert to fraction form
    1,535.94/2,119.42 = 872.65/x
  3. Step 3: Cross multiply
    1,535.94x = 2,119.42 × 872.65
  4. Step 4: Simplify right side
    1,535.94x = 1,849,504.73
  5. Step 5: Solve for x
    x = 1,849,504.73/1,535.94
  6. Step 6: Final answer
    x = 1,204.15

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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.