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Finding the Fourth Proportional to 2,098.07, 3,147.10 and 559.07

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Solution

The fourth proportional to 2,098.07, 3,147.10 and 559.07 is: 838.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.07 : 3,147.10 = 559.07 : x
  2. Step 2: Convert to fraction form
    2,098.07/3,147.10 = 559.07/x
  3. Step 3: Cross multiply
    2,098.07x = 3,147.10 × 559.07
  4. Step 4: Simplify right side
    2,098.07x = 1,759,433.46
  5. Step 5: Solve for x
    x = 1,759,433.46/2,098.07
  6. Step 6: Final answer
    x = 838.60

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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.