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Finding the Fourth Proportional to 1,895.80, 2,614.74 and 1,232.88

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Solution

The fourth proportional to 1,895.80, 2,614.74 and 1,232.88 is: 1,700.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.80 : 2,614.74 = 1,232.88 : x
  2. Step 2: Convert to fraction form
    1,895.80/2,614.74 = 1,232.88/x
  3. Step 3: Cross multiply
    1,895.80x = 2,614.74 × 1,232.88
  4. Step 4: Simplify right side
    1,895.80x = 3,223,660.65
  5. Step 5: Solve for x
    x = 3,223,660.65/1,895.80
  6. Step 6: Final answer
    x = 1,700.42

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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.