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Finding the Fourth Proportional to 2,098.46, 3,147.74 and 1,002.94

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Solution

The fourth proportional to 2,098.46, 3,147.74 and 1,002.94 is: 1,504.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.46 : 3,147.74 = 1,002.94 : x
  2. Step 2: Convert to fraction form
    2,098.46/3,147.74 = 1,002.94/x
  3. Step 3: Cross multiply
    2,098.46x = 3,147.74 × 1,002.94
  4. Step 4: Simplify right side
    2,098.46x = 3,156,994.36
  5. Step 5: Solve for x
    x = 3,156,994.36/2,098.46
  6. Step 6: Final answer
    x = 1,504.43

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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.