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Finding the Fourth Proportional to 2,663.49, 3,987.70 and 1,411.23

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Solution

The fourth proportional to 2,663.49, 3,987.70 and 1,411.23 is: 2,112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.49 : 3,987.70 = 1,411.23 : x
  2. Step 2: Convert to fraction form
    2,663.49/3,987.70 = 1,411.23/x
  3. Step 3: Cross multiply
    2,663.49x = 3,987.70 × 1,411.23
  4. Step 4: Simplify right side
    2,663.49x = 5,627,561.87
  5. Step 5: Solve for x
    x = 5,627,561.87/2,663.49
  6. Step 6: Final answer
    x = 2,112.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.