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Finding the Fourth Proportional to 1,863.57, 2,797.41 and 1,476.06

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Solution

The fourth proportional to 1,863.57, 2,797.41 and 1,476.06 is: 2,215.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.57 : 2,797.41 = 1,476.06 : x
  2. Step 2: Convert to fraction form
    1,863.57/2,797.41 = 1,476.06/x
  3. Step 3: Cross multiply
    1,863.57x = 2,797.41 × 1,476.06
  4. Step 4: Simplify right side
    1,863.57x = 4,129,145.00
  5. Step 5: Solve for x
    x = 4,129,145.00/1,863.57
  6. Step 6: Final answer
    x = 2,215.72

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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.