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Finding the Fourth Proportional to 2,585.79, 3,570.39 and 1,591.47

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Solution

The fourth proportional to 2,585.79, 3,570.39 and 1,591.47 is: 2,197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.79 : 3,570.39 = 1,591.47 : x
  2. Step 2: Convert to fraction form
    2,585.79/3,570.39 = 1,591.47/x
  3. Step 3: Cross multiply
    2,585.79x = 3,570.39 × 1,591.47
  4. Step 4: Simplify right side
    2,585.79x = 5,682,168.57
  5. Step 5: Solve for x
    x = 5,682,168.57/2,585.79
  6. Step 6: Final answer
    x = 2,197.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.