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Finding the Fourth Proportional to 2,098.69, 3,147.30 and 617.50

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Solution

The fourth proportional to 2,098.69, 3,147.30 and 617.50 is: 926.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.69 : 3,147.30 = 617.50 : x
  2. Step 2: Convert to fraction form
    2,098.69/3,147.30 = 617.50/x
  3. Step 3: Cross multiply
    2,098.69x = 3,147.30 × 617.50
  4. Step 4: Simplify right side
    2,098.69x = 1,943,457.75
  5. Step 5: Solve for x
    x = 1,943,457.75/2,098.69
  6. Step 6: Final answer
    x = 926.03

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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.