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Finding the Fourth Proportional to 2,271.45, 3,407.14 and 627.98

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Solution

The fourth proportional to 2,271.45, 3,407.14 and 627.98 is: 941.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.45 : 3,407.14 = 627.98 : x
  2. Step 2: Convert to fraction form
    2,271.45/3,407.14 = 627.98/x
  3. Step 3: Cross multiply
    2,271.45x = 3,407.14 × 627.98
  4. Step 4: Simplify right side
    2,271.45x = 2,139,597.17
  5. Step 5: Solve for x
    x = 2,139,597.17/2,271.45
  6. Step 6: Final answer
    x = 941.95

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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.