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Finding the Fourth Proportional to 2,271.16, 3,406.94 and 627.71

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Solution

The fourth proportional to 2,271.16, 3,406.94 and 627.71 is: 941.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.16 : 3,406.94 = 627.71 : x
  2. Step 2: Convert to fraction form
    2,271.16/3,406.94 = 627.71/x
  3. Step 3: Cross multiply
    2,271.16x = 3,406.94 × 627.71
  4. Step 4: Simplify right side
    2,271.16x = 2,138,552.49
  5. Step 5: Solve for x
    x = 2,138,552.49/2,271.16
  6. Step 6: Final answer
    x = 941.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.