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Finding the Fourth Proportional to 2,585.71, 3,878.77 and 1,900.45

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Solution

The fourth proportional to 2,585.71, 3,878.77 and 1,900.45 is: 2,850.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.71 : 3,878.77 = 1,900.45 : x
  2. Step 2: Convert to fraction form
    2,585.71/3,878.77 = 1,900.45/x
  3. Step 3: Cross multiply
    2,585.71x = 3,878.77 × 1,900.45
  4. Step 4: Simplify right side
    2,585.71x = 7,371,408.45
  5. Step 5: Solve for x
    x = 7,371,408.45/2,585.71
  6. Step 6: Final answer
    x = 2,850.83

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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.