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Finding the Fourth Proportional to 2,271.18, 3,406.69 and 627.69

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Solution

The fourth proportional to 2,271.18, 3,406.69 and 627.69 is: 941.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.18 : 3,406.69 = 627.69 : x
  2. Step 2: Convert to fraction form
    2,271.18/3,406.69 = 627.69/x
  3. Step 3: Cross multiply
    2,271.18x = 3,406.69 × 627.69
  4. Step 4: Simplify right side
    2,271.18x = 2,138,345.25
  5. Step 5: Solve for x
    x = 2,138,345.25/2,271.18
  6. Step 6: Final answer
    x = 941.51

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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.