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Finding the Fourth Proportional to 2,707.40, 3,737.94 and 2,211.24

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Solution

The fourth proportional to 2,707.40, 3,737.94 and 2,211.24 is: 3,052.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.40 : 3,737.94 = 2,211.24 : x
  2. Step 2: Convert to fraction form
    2,707.40/3,737.94 = 2,211.24/x
  3. Step 3: Cross multiply
    2,707.40x = 3,737.94 × 2,211.24
  4. Step 4: Simplify right side
    2,707.40x = 8,265,482.45
  5. Step 5: Solve for x
    x = 8,265,482.45/2,707.40
  6. Step 6: Final answer
    x = 3,052.92

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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.