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Finding the Fourth Proportional to 2,585.79, 3,879.63 and 1,612.71

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Solution

The fourth proportional to 2,585.79, 3,879.63 and 1,612.71 is: 2,419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.79 : 3,879.63 = 1,612.71 : x
  2. Step 2: Convert to fraction form
    2,585.79/3,879.63 = 1,612.71/x
  3. Step 3: Cross multiply
    2,585.79x = 3,879.63 × 1,612.71
  4. Step 4: Simplify right side
    2,585.79x = 6,256,718.10
  5. Step 5: Solve for x
    x = 6,256,718.10/2,585.79
  6. Step 6: Final answer
    x = 2,419.65

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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.