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Finding the Fourth Proportional to 2,955.45, 4,433.18 and 734.30

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Solution

The fourth proportional to 2,955.45, 4,433.18 and 734.30 is: 1,101.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.45 : 4,433.18 = 734.30 : x
  2. Step 2: Convert to fraction form
    2,955.45/4,433.18 = 734.30/x
  3. Step 3: Cross multiply
    2,955.45x = 4,433.18 × 734.30
  4. Step 4: Simplify right side
    2,955.45x = 3,255,258.24
  5. Step 5: Solve for x
    x = 3,255,258.24/2,955.45
  6. Step 6: Final answer
    x = 1,101.44

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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.