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Finding the Fourth Proportional to 2,059.98, 3,090.28 and 598.94

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Solution

The fourth proportional to 2,059.98, 3,090.28 and 598.94 is: 898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.98 : 3,090.28 = 598.94 : x
  2. Step 2: Convert to fraction form
    2,059.98/3,090.28 = 598.94/x
  3. Step 3: Cross multiply
    2,059.98x = 3,090.28 × 598.94
  4. Step 4: Simplify right side
    2,059.98x = 1,850,892.30
  5. Step 5: Solve for x
    x = 1,850,892.30/2,059.98
  6. Step 6: Final answer
    x = 898.50

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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.