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Finding the Fourth Proportional to 2,585.21, 3,878.02 and 1,899.95

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Solution

The fourth proportional to 2,585.21, 3,878.02 and 1,899.95 is: 2,850.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.21 : 3,878.02 = 1,899.95 : x
  2. Step 2: Convert to fraction form
    2,585.21/3,878.02 = 1,899.95/x
  3. Step 3: Cross multiply
    2,585.21x = 3,878.02 × 1,899.95
  4. Step 4: Simplify right side
    2,585.21x = 7,368,044.10
  5. Step 5: Solve for x
    x = 7,368,044.10/2,585.21
  6. Step 6: Final answer
    x = 2,850.08

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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.