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Finding the Fourth Proportional to 1,584.53, 2,186.66 and 876.43

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Solution

The fourth proportional to 1,584.53, 2,186.66 and 876.43 is: 1,209.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.53 : 2,186.66 = 876.43 : x
  2. Step 2: Convert to fraction form
    1,584.53/2,186.66 = 876.43/x
  3. Step 3: Cross multiply
    1,584.53x = 2,186.66 × 876.43
  4. Step 4: Simplify right side
    1,584.53x = 1,916,439.11
  5. Step 5: Solve for x
    x = 1,916,439.11/1,584.53
  6. Step 6: Final answer
    x = 1,209.47

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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.