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Finding the Fourth Proportional to 2,098, 3,146.88 and 637.12

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Solution

The fourth proportional to 2,098, 3,146.88 and 637.12 is: 955.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098 : 3,146.88 = 637.12 : x
  2. Step 2: Convert to fraction form
    2,098/3,146.88 = 637.12/x
  3. Step 3: Cross multiply
    2,098x = 3,146.88 × 637.12
  4. Step 4: Simplify right side
    2,098x = 2,004,940.19
  5. Step 5: Solve for x
    x = 2,004,940.19/2,098
  6. Step 6: Final answer
    x = 955.64

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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.