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Finding the Fourth Proportional to 2,886.84, 4,328.82 and 938.80

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Solution

The fourth proportional to 2,886.84, 4,328.82 and 938.80 is: 1,407.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.84 : 4,328.82 = 938.80 : x
  2. Step 2: Convert to fraction form
    2,886.84/4,328.82 = 938.80/x
  3. Step 3: Cross multiply
    2,886.84x = 4,328.82 × 938.80
  4. Step 4: Simplify right side
    2,886.84x = 4,063,896.22
  5. Step 5: Solve for x
    x = 4,063,896.22/2,886.84
  6. Step 6: Final answer
    x = 1,407.73

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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.