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Finding the Fourth Proportional to 2,155.64, 3,232.26 and 1,057.64

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Solution

The fourth proportional to 2,155.64, 3,232.26 and 1,057.64 is: 1,585.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.64 : 3,232.26 = 1,057.64 : x
  2. Step 2: Convert to fraction form
    2,155.64/3,232.26 = 1,057.64/x
  3. Step 3: Cross multiply
    2,155.64x = 3,232.26 × 1,057.64
  4. Step 4: Simplify right side
    2,155.64x = 3,418,567.47
  5. Step 5: Solve for x
    x = 3,418,567.47/2,155.64
  6. Step 6: Final answer
    x = 1,585.87

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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.