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Finding the Fourth Proportional to 1,902.91, 2,854.41 and 568.57

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Solution

The fourth proportional to 1,902.91, 2,854.41 and 568.57 is: 852.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.91 : 2,854.41 = 568.57 : x
  2. Step 2: Convert to fraction form
    1,902.91/2,854.41 = 568.57/x
  3. Step 3: Cross multiply
    1,902.91x = 2,854.41 × 568.57
  4. Step 4: Simplify right side
    1,902.91x = 1,622,931.89
  5. Step 5: Solve for x
    x = 1,622,931.89/1,902.91
  6. Step 6: Final answer
    x = 852.87

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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.