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Finding the Fourth Proportional to 2,585.62, 3,568.26 and 1,537.84

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Solution

The fourth proportional to 2,585.62, 3,568.26 and 1,537.84 is: 2,122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.62 : 3,568.26 = 1,537.84 : x
  2. Step 2: Convert to fraction form
    2,585.62/3,568.26 = 1,537.84/x
  3. Step 3: Cross multiply
    2,585.62x = 3,568.26 × 1,537.84
  4. Step 4: Simplify right side
    2,585.62x = 5,487,412.96
  5. Step 5: Solve for x
    x = 5,487,412.96/2,585.62
  6. Step 6: Final answer
    x = 2,122.28

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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.