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Finding the Fourth Proportional to 3,002.00, 4,142.67 and 1,675.71

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Solution

The fourth proportional to 3,002.00, 4,142.67 and 1,675.71 is: 2,312.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.00 : 4,142.67 = 1,675.71 : x
  2. Step 2: Convert to fraction form
    3,002.00/4,142.67 = 1,675.71/x
  3. Step 3: Cross multiply
    3,002.00x = 4,142.67 × 1,675.71
  4. Step 4: Simplify right side
    3,002.00x = 6,941,913.55
  5. Step 5: Solve for x
    x = 6,941,913.55/3,002.00
  6. Step 6: Final answer
    x = 2,312.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.