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Finding the Fourth Proportional to 2,061.08, 3,090.90 and 599.80

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Solution

The fourth proportional to 2,061.08, 3,090.90 and 599.80 is: 899.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.08 : 3,090.90 = 599.80 : x
  2. Step 2: Convert to fraction form
    2,061.08/3,090.90 = 599.80/x
  3. Step 3: Cross multiply
    2,061.08x = 3,090.90 × 599.80
  4. Step 4: Simplify right side
    2,061.08x = 1,853,921.82
  5. Step 5: Solve for x
    x = 1,853,921.82/2,061.08
  6. Step 6: Final answer
    x = 899.49

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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.