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Finding the Fourth Proportional to 2,154.19, 3,230.59 and 837.85

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Solution

The fourth proportional to 2,154.19, 3,230.59 and 837.85 is: 1,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.19 : 3,230.59 = 837.85 : x
  2. Step 2: Convert to fraction form
    2,154.19/3,230.59 = 837.85/x
  3. Step 3: Cross multiply
    2,154.19x = 3,230.59 × 837.85
  4. Step 4: Simplify right side
    2,154.19x = 2,706,739.66
  5. Step 5: Solve for x
    x = 2,706,739.66/2,154.19
  6. Step 6: Final answer
    x = 1,256.50

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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.