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Finding the Fourth Proportional to 2,585.64, 3,567.84 and 1,537.56

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Solution

The fourth proportional to 2,585.64, 3,567.84 and 1,537.56 is: 2,121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.64 : 3,567.84 = 1,537.56 : x
  2. Step 2: Convert to fraction form
    2,585.64/3,567.84 = 1,537.56/x
  3. Step 3: Cross multiply
    2,585.64x = 3,567.84 × 1,537.56
  4. Step 4: Simplify right side
    2,585.64x = 5,485,768.07
  5. Step 5: Solve for x
    x = 5,485,768.07/2,585.64
  6. Step 6: Final answer
    x = 2,121.63

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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.