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Finding the Fourth Proportional to 2,098.50, 3,148.31 and 1,868.96

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Solution

The fourth proportional to 2,098.50, 3,148.31 and 1,868.96 is: 2,803.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.50 : 3,148.31 = 1,868.96 : x
  2. Step 2: Convert to fraction form
    2,098.50/3,148.31 = 1,868.96/x
  3. Step 3: Cross multiply
    2,098.50x = 3,148.31 × 1,868.96
  4. Step 4: Simplify right side
    2,098.50x = 5,884,078.00
  5. Step 5: Solve for x
    x = 5,884,078.00/2,098.50
  6. Step 6: Final answer
    x = 2,803.94

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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.