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Finding the Fourth Proportional to 1,855.76, 2,781.92 and 989.20

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Solution

The fourth proportional to 1,855.76, 2,781.92 and 989.20 is: 1,482.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.76 : 2,781.92 = 989.20 : x
  2. Step 2: Convert to fraction form
    1,855.76/2,781.92 = 989.20/x
  3. Step 3: Cross multiply
    1,855.76x = 2,781.92 × 989.20
  4. Step 4: Simplify right side
    1,855.76x = 2,751,875.26
  5. Step 5: Solve for x
    x = 2,751,875.26/1,855.76
  6. Step 6: Final answer
    x = 1,482.88

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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.