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Finding the Fourth Proportional to 1,584.18, 2,186.13 and 876.01

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Solution

The fourth proportional to 1,584.18, 2,186.13 and 876.01 is: 1,208.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.18 : 2,186.13 = 876.01 : x
  2. Step 2: Convert to fraction form
    1,584.18/2,186.13 = 876.01/x
  3. Step 3: Cross multiply
    1,584.18x = 2,186.13 × 876.01
  4. Step 4: Simplify right side
    1,584.18x = 1,915,065.05
  5. Step 5: Solve for x
    x = 1,915,065.05/1,584.18
  6. Step 6: Final answer
    x = 1,208.87

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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.