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Finding the Fourth Proportional to 2,585.01, 3,879.19 and 1,024.75

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Solution

The fourth proportional to 2,585.01, 3,879.19 and 1,024.75 is: 1,537.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.01 : 3,879.19 = 1,024.75 : x
  2. Step 2: Convert to fraction form
    2,585.01/3,879.19 = 1,024.75/x
  3. Step 3: Cross multiply
    2,585.01x = 3,879.19 × 1,024.75
  4. Step 4: Simplify right side
    2,585.01x = 3,975,206.08
  5. Step 5: Solve for x
    x = 3,975,206.08/2,585.01
  6. Step 6: Final answer
    x = 1,537.79

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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.