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Finding the Fourth Proportional to 2,568.48, 3,543.84 and 1,520.64

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Solution

The fourth proportional to 2,568.48, 3,543.84 and 1,520.64 is: 2,098.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.48 : 3,543.84 = 1,520.64 : x
  2. Step 2: Convert to fraction form
    2,568.48/3,543.84 = 1,520.64/x
  3. Step 3: Cross multiply
    2,568.48x = 3,543.84 × 1,520.64
  4. Step 4: Simplify right side
    2,568.48x = 5,388,904.86
  5. Step 5: Solve for x
    x = 5,388,904.86/2,568.48
  6. Step 6: Final answer
    x = 2,098.09

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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.