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Finding the Fourth Proportional to 2,271.70, 3,405.12 and 956.17

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Solution

The fourth proportional to 2,271.70, 3,405.12 and 956.17 is: 1,433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.70 : 3,405.12 = 956.17 : x
  2. Step 2: Convert to fraction form
    2,271.70/3,405.12 = 956.17/x
  3. Step 3: Cross multiply
    2,271.70x = 3,405.12 × 956.17
  4. Step 4: Simplify right side
    2,271.70x = 3,255,873.59
  5. Step 5: Solve for x
    x = 3,255,873.59/2,271.70
  6. Step 6: Final answer
    x = 1,433.23

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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.