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Finding the Fourth Proportional to 2,271.24, 3,406.95 and 627.80

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Solution

The fourth proportional to 2,271.24, 3,406.95 and 627.80 is: 941.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.24 : 3,406.95 = 627.80 : x
  2. Step 2: Convert to fraction form
    2,271.24/3,406.95 = 627.80/x
  3. Step 3: Cross multiply
    2,271.24x = 3,406.95 × 627.80
  4. Step 4: Simplify right side
    2,271.24x = 2,138,866.18
  5. Step 5: Solve for x
    x = 2,138,866.18/2,271.24
  6. Step 6: Final answer
    x = 941.72

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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.