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Finding the Fourth Proportional to 2,059.80, 3,090.24 and 598.96

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Solution

The fourth proportional to 2,059.80, 3,090.24 and 598.96 is: 898.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.80 : 3,090.24 = 598.96 : x
  2. Step 2: Convert to fraction form
    2,059.80/3,090.24 = 598.96/x
  3. Step 3: Cross multiply
    2,059.80x = 3,090.24 × 598.96
  4. Step 4: Simplify right side
    2,059.80x = 1,850,920.13
  5. Step 5: Solve for x
    x = 1,850,920.13/2,059.80
  6. Step 6: Final answer
    x = 898.59

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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.