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Finding the Fourth Proportional to 2,827.42, 3,901.84 and 1,568.67

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Solution

The fourth proportional to 2,827.42, 3,901.84 and 1,568.67 is: 2,164.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.42 : 3,901.84 = 1,568.67 : x
  2. Step 2: Convert to fraction form
    2,827.42/3,901.84 = 1,568.67/x
  3. Step 3: Cross multiply
    2,827.42x = 3,901.84 × 1,568.67
  4. Step 4: Simplify right side
    2,827.42x = 6,120,699.35
  5. Step 5: Solve for x
    x = 6,120,699.35/2,827.42
  6. Step 6: Final answer
    x = 2,164.76

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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.