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Finding the Fourth Proportional to 2,686.48, 4,016.04 and 2,408.20

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Solution

The fourth proportional to 2,686.48, 4,016.04 and 2,408.20 is: 3,600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.48 : 4,016.04 = 2,408.20 : x
  2. Step 2: Convert to fraction form
    2,686.48/4,016.04 = 2,408.20/x
  3. Step 3: Cross multiply
    2,686.48x = 4,016.04 × 2,408.20
  4. Step 4: Simplify right side
    2,686.48x = 9,671,427.53
  5. Step 5: Solve for x
    x = 9,671,427.53/2,686.48
  6. Step 6: Final answer
    x = 3,600.04

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