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Finding the Fourth Proportional to 2,184.90, 3,277.26 and 886.35

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Solution

The fourth proportional to 2,184.90, 3,277.26 and 886.35 is: 1,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.90 : 3,277.26 = 886.35 : x
  2. Step 2: Convert to fraction form
    2,184.90/3,277.26 = 886.35/x
  3. Step 3: Cross multiply
    2,184.90x = 3,277.26 × 886.35
  4. Step 4: Simplify right side
    2,184.90x = 2,904,799.40
  5. Step 5: Solve for x
    x = 2,904,799.40/2,184.90
  6. Step 6: Final answer
    x = 1,329.49

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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.