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Finding the Fourth Proportional to 2,708.10, 3,740.67 and 2,216.70

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Solution

The fourth proportional to 2,708.10, 3,740.67 and 2,216.70 is: 3,061.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.10 : 3,740.67 = 2,216.70 : x
  2. Step 2: Convert to fraction form
    2,708.10/3,740.67 = 2,216.70/x
  3. Step 3: Cross multiply
    2,708.10x = 3,740.67 × 2,216.70
  4. Step 4: Simplify right side
    2,708.10x = 8,291,943.19
  5. Step 5: Solve for x
    x = 8,291,943.19/2,708.10
  6. Step 6: Final answer
    x = 3,061.90

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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.