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Finding the Fourth Proportional to 1,615.82, 2,408.40 and 1,562.49

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Solution

The fourth proportional to 1,615.82, 2,408.40 and 1,562.49 is: 2,328.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.82 : 2,408.40 = 1,562.49 : x
  2. Step 2: Convert to fraction form
    1,615.82/2,408.40 = 1,562.49/x
  3. Step 3: Cross multiply
    1,615.82x = 2,408.40 × 1,562.49
  4. Step 4: Simplify right side
    1,615.82x = 3,763,100.92
  5. Step 5: Solve for x
    x = 3,763,100.92/1,615.82
  6. Step 6: Final answer
    x = 2,328.92

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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.