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Finding the Fourth Proportional to 2,886.03, 3,981.84 and 1,765.80

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Solution

The fourth proportional to 2,886.03, 3,981.84 and 1,765.80 is: 2,436.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.03 : 3,981.84 = 1,765.80 : x
  2. Step 2: Convert to fraction form
    2,886.03/3,981.84 = 1,765.80/x
  3. Step 3: Cross multiply
    2,886.03x = 3,981.84 × 1,765.80
  4. Step 4: Simplify right side
    2,886.03x = 7,031,124.24
  5. Step 5: Solve for x
    x = 7,031,124.24/2,886.03
  6. Step 6: Final answer
    x = 2,436.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.