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Finding the Fourth Proportional to 2,283.40, 3,408.57 and 2,006.60

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Solution

The fourth proportional to 2,283.40, 3,408.57 and 2,006.60 is: 2,995.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.40 : 3,408.57 = 2,006.60 : x
  2. Step 2: Convert to fraction form
    2,283.40/3,408.57 = 2,006.60/x
  3. Step 3: Cross multiply
    2,283.40x = 3,408.57 × 2,006.60
  4. Step 4: Simplify right side
    2,283.40x = 6,839,650.10
  5. Step 5: Solve for x
    x = 6,839,650.10/2,283.40
  6. Step 6: Final answer
    x = 2,995.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.