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Finding the Fourth Proportional to 3,002.94, 4,143.51 and 1,676.61

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Solution

The fourth proportional to 3,002.94, 4,143.51 and 1,676.61 is: 2,313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.94 : 4,143.51 = 1,676.61 : x
  2. Step 2: Convert to fraction form
    3,002.94/4,143.51 = 1,676.61/x
  3. Step 3: Cross multiply
    3,002.94x = 4,143.51 × 1,676.61
  4. Step 4: Simplify right side
    3,002.94x = 6,947,050.30
  5. Step 5: Solve for x
    x = 6,947,050.30/3,002.94
  6. Step 6: Final answer
    x = 2,313.42

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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.