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Finding the Fourth Proportional to 2,661.84, 3,993.03 and 714.24

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Solution

The fourth proportional to 2,661.84, 3,993.03 and 714.24 is: 1,071.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.84 : 3,993.03 = 714.24 : x
  2. Step 2: Convert to fraction form
    2,661.84/3,993.03 = 714.24/x
  3. Step 3: Cross multiply
    2,661.84x = 3,993.03 × 714.24
  4. Step 4: Simplify right side
    2,661.84x = 2,851,981.75
  5. Step 5: Solve for x
    x = 2,851,981.75/2,661.84
  6. Step 6: Final answer
    x = 1,071.43

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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.