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Finding the Fourth Proportional to 2,585.63, 3,877.10 and 1,268.80

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Solution

The fourth proportional to 2,585.63, 3,877.10 and 1,268.80 is: 1,902.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.63 : 3,877.10 = 1,268.80 : x
  2. Step 2: Convert to fraction form
    2,585.63/3,877.10 = 1,268.80/x
  3. Step 3: Cross multiply
    2,585.63x = 3,877.10 × 1,268.80
  4. Step 4: Simplify right side
    2,585.63x = 4,919,275.01
  5. Step 5: Solve for x
    x = 4,919,275.01/2,585.63
  6. Step 6: Final answer
    x = 1,902.55

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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.