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Finding the Fourth Proportional to 1,956.10, 2,934.12 and 475.34

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Solution

The fourth proportional to 1,956.10, 2,934.12 and 475.34 is: 713.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.10 : 2,934.12 = 475.34 : x
  2. Step 2: Convert to fraction form
    1,956.10/2,934.12 = 475.34/x
  3. Step 3: Cross multiply
    1,956.10x = 2,934.12 × 475.34
  4. Step 4: Simplify right side
    1,956.10x = 1,394,691.71
  5. Step 5: Solve for x
    x = 1,394,691.71/1,956.10
  6. Step 6: Final answer
    x = 713.00

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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.