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Finding the Fourth Proportional to 2,885.13, 4,328.41 and 833.13

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Solution

The fourth proportional to 2,885.13, 4,328.41 and 833.13 is: 1,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.13 : 4,328.41 = 833.13 : x
  2. Step 2: Convert to fraction form
    2,885.13/4,328.41 = 833.13/x
  3. Step 3: Cross multiply
    2,885.13x = 4,328.41 × 833.13
  4. Step 4: Simplify right side
    2,885.13x = 3,606,128.22
  5. Step 5: Solve for x
    x = 3,606,128.22/2,885.13
  6. Step 6: Final answer
    x = 1,249.90

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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.