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Finding the Fourth Proportional to 2,166.31, 2,988.23 and 1,327.39

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Solution

The fourth proportional to 2,166.31, 2,988.23 and 1,327.39 is: 1,831.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.31 : 2,988.23 = 1,327.39 : x
  2. Step 2: Convert to fraction form
    2,166.31/2,988.23 = 1,327.39/x
  3. Step 3: Cross multiply
    2,166.31x = 2,988.23 × 1,327.39
  4. Step 4: Simplify right side
    2,166.31x = 3,966,539.98
  5. Step 5: Solve for x
    x = 3,966,539.98/2,166.31
  6. Step 6: Final answer
    x = 1,831.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.