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Finding the Fourth Proportional to 1,528.84, 2,105.85 and 1,426.78

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Solution

The fourth proportional to 1,528.84, 2,105.85 and 1,426.78 is: 1,965.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.84 : 2,105.85 = 1,426.78 : x
  2. Step 2: Convert to fraction form
    1,528.84/2,105.85 = 1,426.78/x
  3. Step 3: Cross multiply
    1,528.84x = 2,105.85 × 1,426.78
  4. Step 4: Simplify right side
    1,528.84x = 3,004,592.65
  5. Step 5: Solve for x
    x = 3,004,592.65/1,528.84
  6. Step 6: Final answer
    x = 1,965.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.