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Finding the Fourth Proportional to 2,687.95, 4,013.52 and 2,408.50

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Solution

The fourth proportional to 2,687.95, 4,013.52 and 2,408.50 is: 3,596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.95 : 4,013.52 = 2,408.50 : x
  2. Step 2: Convert to fraction form
    2,687.95/4,013.52 = 2,408.50/x
  3. Step 3: Cross multiply
    2,687.95x = 4,013.52 × 2,408.50
  4. Step 4: Simplify right side
    2,687.95x = 9,666,552.89
  5. Step 5: Solve for x
    x = 9,666,552.89/2,687.95
  6. Step 6: Final answer
    x = 3,596.26

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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.