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Finding the Fourth Proportional to 2,271.26, 3,407.30 and 627.77

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Solution

The fourth proportional to 2,271.26, 3,407.30 and 627.77 is: 941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.26 : 3,407.30 = 627.77 : x
  2. Step 2: Convert to fraction form
    2,271.26/3,407.30 = 627.77/x
  3. Step 3: Cross multiply
    2,271.26x = 3,407.30 × 627.77
  4. Step 4: Simplify right side
    2,271.26x = 2,139,008.45
  5. Step 5: Solve for x
    x = 2,139,008.45/2,271.26
  6. Step 6: Final answer
    x = 941.77

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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.