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Finding the Fourth Proportional to 2,811.67, 4,218.11 and 837.30

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Solution

The fourth proportional to 2,811.67, 4,218.11 and 837.30 is: 1,256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.67 : 4,218.11 = 837.30 : x
  2. Step 2: Convert to fraction form
    2,811.67/4,218.11 = 837.30/x
  3. Step 3: Cross multiply
    2,811.67x = 4,218.11 × 837.30
  4. Step 4: Simplify right side
    2,811.67x = 3,531,823.50
  5. Step 5: Solve for x
    x = 3,531,823.50/2,811.67
  6. Step 6: Final answer
    x = 1,256.13

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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.