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Finding the Fourth Proportional to 1,584.21, 2,186.10 and 876.03

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Solution

The fourth proportional to 1,584.21, 2,186.10 and 876.03 is: 1,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.21 : 2,186.10 = 876.03 : x
  2. Step 2: Convert to fraction form
    1,584.21/2,186.10 = 876.03/x
  3. Step 3: Cross multiply
    1,584.21x = 2,186.10 × 876.03
  4. Step 4: Simplify right side
    1,584.21x = 1,915,089.18
  5. Step 5: Solve for x
    x = 1,915,089.18/1,584.21
  6. Step 6: Final answer
    x = 1,208.86

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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.