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Finding the Fourth Proportional to 1,398.73, 2,098.91 and 1,323.67

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Solution

The fourth proportional to 1,398.73, 2,098.91 and 1,323.67 is: 1,986.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.73 : 2,098.91 = 1,323.67 : x
  2. Step 2: Convert to fraction form
    1,398.73/2,098.91 = 1,323.67/x
  3. Step 3: Cross multiply
    1,398.73x = 2,098.91 × 1,323.67
  4. Step 4: Simplify right side
    1,398.73x = 2,778,264.20
  5. Step 5: Solve for x
    x = 2,778,264.20/1,398.73
  6. Step 6: Final answer
    x = 1,986.28

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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.