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Finding the Fourth Proportional to 2,098.67, 3,148.70 and 988.56

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Solution

The fourth proportional to 2,098.67, 3,148.70 and 988.56 is: 1,483.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.67 : 3,148.70 = 988.56 : x
  2. Step 2: Convert to fraction form
    2,098.67/3,148.70 = 988.56/x
  3. Step 3: Cross multiply
    2,098.67x = 3,148.70 × 988.56
  4. Step 4: Simplify right side
    2,098.67x = 3,112,673.93
  5. Step 5: Solve for x
    x = 3,112,673.93/2,098.67
  6. Step 6: Final answer
    x = 1,483.17

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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.