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Finding the Fourth Proportional to 2,568.96, 3,855.60 and 1,415.52

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Solution

The fourth proportional to 2,568.96, 3,855.60 and 1,415.52 is: 2,124.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.96 : 3,855.60 = 1,415.52 : x
  2. Step 2: Convert to fraction form
    2,568.96/3,855.60 = 1,415.52/x
  3. Step 3: Cross multiply
    2,568.96x = 3,855.60 × 1,415.52
  4. Step 4: Simplify right side
    2,568.96x = 5,457,678.91
  5. Step 5: Solve for x
    x = 5,457,678.91/2,568.96
  6. Step 6: Final answer
    x = 2,124.47

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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.