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Finding the Fourth Proportional to 2,858.04, 4,287.02 and 2,082.96

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Solution

The fourth proportional to 2,858.04, 4,287.02 and 2,082.96 is: 3,124.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.04 : 4,287.02 = 2,082.96 : x
  2. Step 2: Convert to fraction form
    2,858.04/4,287.02 = 2,082.96/x
  3. Step 3: Cross multiply
    2,858.04x = 4,287.02 × 2,082.96
  4. Step 4: Simplify right side
    2,858.04x = 8,929,680.76
  5. Step 5: Solve for x
    x = 8,929,680.76/2,858.04
  6. Step 6: Final answer
    x = 3,124.41

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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.