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Finding the Fourth Proportional to 2,627.81, 3,942.10 and 962.01

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Solution

The fourth proportional to 2,627.81, 3,942.10 and 962.01 is: 1,443.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.81 : 3,942.10 = 962.01 : x
  2. Step 2: Convert to fraction form
    2,627.81/3,942.10 = 962.01/x
  3. Step 3: Cross multiply
    2,627.81x = 3,942.10 × 962.01
  4. Step 4: Simplify right side
    2,627.81x = 3,792,340.82
  5. Step 5: Solve for x
    x = 3,792,340.82/2,627.81
  6. Step 6: Final answer
    x = 1,443.16

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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.