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Finding the Fourth Proportional to 2,271.12, 3,406.61 and 627.77

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Solution

The fourth proportional to 2,271.12, 3,406.61 and 627.77 is: 941.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.12 : 3,406.61 = 627.77 : x
  2. Step 2: Convert to fraction form
    2,271.12/3,406.61 = 627.77/x
  3. Step 3: Cross multiply
    2,271.12x = 3,406.61 × 627.77
  4. Step 4: Simplify right side
    2,271.12x = 2,138,567.56
  5. Step 5: Solve for x
    x = 2,138,567.56/2,271.12
  6. Step 6: Final answer
    x = 941.64

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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.