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Finding the Fourth Proportional to 2,737.75, 4,106.76 and 790.11

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Solution

The fourth proportional to 2,737.75, 4,106.76 and 790.11 is: 1,185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.75 : 4,106.76 = 790.11 : x
  2. Step 2: Convert to fraction form
    2,737.75/4,106.76 = 790.11/x
  3. Step 3: Cross multiply
    2,737.75x = 4,106.76 × 790.11
  4. Step 4: Simplify right side
    2,737.75x = 3,244,792.14
  5. Step 5: Solve for x
    x = 3,244,792.14/2,737.75
  6. Step 6: Final answer
    x = 1,185.20

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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.