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Finding the Fourth Proportional to 2,867.34, 4,300.98 and 1,893.20

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Solution

The fourth proportional to 2,867.34, 4,300.98 and 1,893.20 is: 2,839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.34 : 4,300.98 = 1,893.20 : x
  2. Step 2: Convert to fraction form
    2,867.34/4,300.98 = 1,893.20/x
  3. Step 3: Cross multiply
    2,867.34x = 4,300.98 × 1,893.20
  4. Step 4: Simplify right side
    2,867.34x = 8,142,615.34
  5. Step 5: Solve for x
    x = 8,142,615.34/2,867.34
  6. Step 6: Final answer
    x = 2,839.78

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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.