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Finding the Fourth Proportional to 2,271.33, 3,407.00 and 627.89

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Solution

The fourth proportional to 2,271.33, 3,407.00 and 627.89 is: 941.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.33 : 3,407.00 = 627.89 : x
  2. Step 2: Convert to fraction form
    2,271.33/3,407.00 = 627.89/x
  3. Step 3: Cross multiply
    2,271.33x = 3,407.00 × 627.89
  4. Step 4: Simplify right side
    2,271.33x = 2,139,201.06
  5. Step 5: Solve for x
    x = 2,139,201.06/2,271.33
  6. Step 6: Final answer
    x = 941.83

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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.