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Finding the Fourth Proportional to 1,651.88, 2,466.49 and 1,408.28

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Solution

The fourth proportional to 1,651.88, 2,466.49 and 1,408.28 is: 2,102.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.88 : 2,466.49 = 1,408.28 : x
  2. Step 2: Convert to fraction form
    1,651.88/2,466.49 = 1,408.28/x
  3. Step 3: Cross multiply
    1,651.88x = 2,466.49 × 1,408.28
  4. Step 4: Simplify right side
    1,651.88x = 3,473,508.54
  5. Step 5: Solve for x
    x = 3,473,508.54/1,651.88
  6. Step 6: Final answer
    x = 2,102.76

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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.