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Finding the Fourth Proportional to 2,869.29, 4,302.86 and 1,224.99

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Solution

The fourth proportional to 2,869.29, 4,302.86 and 1,224.99 is: 1,837.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.29 : 4,302.86 = 1,224.99 : x
  2. Step 2: Convert to fraction form
    2,869.29/4,302.86 = 1,224.99/x
  3. Step 3: Cross multiply
    2,869.29x = 4,302.86 × 1,224.99
  4. Step 4: Simplify right side
    2,869.29x = 5,270,954.35
  5. Step 5: Solve for x
    x = 5,270,954.35/2,869.29
  6. Step 6: Final answer
    x = 1,837.02

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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.