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Finding the Fourth Proportional to 3,674.50, 5,070.85 and 2,018.50

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Solution

The fourth proportional to 3,674.50, 5,070.85 and 2,018.50 is: 2,785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.50 : 5,070.85 = 2,018.50 : x
  2. Step 2: Convert to fraction form
    3,674.50/5,070.85 = 2,018.50/x
  3. Step 3: Cross multiply
    3,674.50x = 5,070.85 × 2,018.50
  4. Step 4: Simplify right side
    3,674.50x = 10,235,510.73
  5. Step 5: Solve for x
    x = 10,235,510.73/3,674.50
  6. Step 6: Final answer
    x = 2,785.55

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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.