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Finding the Fourth Proportional to 2,586.39, 3,874.11 and 1,607.70

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Solution

The fourth proportional to 2,586.39, 3,874.11 and 1,607.70 is: 2,408.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.39 : 3,874.11 = 1,607.70 : x
  2. Step 2: Convert to fraction form
    2,586.39/3,874.11 = 1,607.70/x
  3. Step 3: Cross multiply
    2,586.39x = 3,874.11 × 1,607.70
  4. Step 4: Simplify right side
    2,586.39x = 6,228,406.65
  5. Step 5: Solve for x
    x = 6,228,406.65/2,586.39
  6. Step 6: Final answer
    x = 2,408.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.