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Finding the Fourth Proportional to 2,861.61, 4,287.23 and 2,402.34

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Solution

The fourth proportional to 2,861.61, 4,287.23 and 2,402.34 is: 3,599.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.61 : 4,287.23 = 2,402.34 : x
  2. Step 2: Convert to fraction form
    2,861.61/4,287.23 = 2,402.34/x
  3. Step 3: Cross multiply
    2,861.61x = 4,287.23 × 2,402.34
  4. Step 4: Simplify right side
    2,861.61x = 10,299,384.12
  5. Step 5: Solve for x
    x = 10,299,384.12/2,861.61
  6. Step 6: Final answer
    x = 3,599.16

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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.