Home / 2,585.39-3,568.44-1,538.06

Finding the Fourth Proportional to 2,585.39, 3,568.44 and 1,538.06

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Solution

The fourth proportional to 2,585.39, 3,568.44 and 1,538.06 is: 2,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.39 : 3,568.44 = 1,538.06 : x
  2. Step 2: Convert to fraction form
    2,585.39/3,568.44 = 1,538.06/x
  3. Step 3: Cross multiply
    2,585.39x = 3,568.44 × 1,538.06
  4. Step 4: Simplify right side
    2,585.39x = 5,488,474.83
  5. Step 5: Solve for x
    x = 5,488,474.83/2,585.39
  6. Step 6: Final answer
    x = 2,122.88

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Why These Related Problems?

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