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Finding the Fourth Proportional to 2,667.48, 4,002.63 and 1,892.49

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Solution

The fourth proportional to 2,667.48, 4,002.63 and 1,892.49 is: 2,839.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.48 : 4,002.63 = 1,892.49 : x
  2. Step 2: Convert to fraction form
    2,667.48/4,002.63 = 1,892.49/x
  3. Step 3: Cross multiply
    2,667.48x = 4,002.63 × 1,892.49
  4. Step 4: Simplify right side
    2,667.48x = 7,574,937.25
  5. Step 5: Solve for x
    x = 7,574,937.25/2,667.48
  6. Step 6: Final answer
    x = 2,839.74

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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.