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Finding the Fourth Proportional to 2,635.71, 3,956.23 and 1,320.40

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Solution

The fourth proportional to 2,635.71, 3,956.23 and 1,320.40 is: 1,981.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.71 : 3,956.23 = 1,320.40 : x
  2. Step 2: Convert to fraction form
    2,635.71/3,956.23 = 1,320.40/x
  3. Step 3: Cross multiply
    2,635.71x = 3,956.23 × 1,320.40
  4. Step 4: Simplify right side
    2,635.71x = 5,223,799.49
  5. Step 5: Solve for x
    x = 5,223,799.49/2,635.71
  6. Step 6: Final answer
    x = 1,981.94

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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.