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Finding the Fourth Proportional to 1,529.85, 2,294.01 and 905.79

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Solution

The fourth proportional to 1,529.85, 2,294.01 and 905.79 is: 1,358.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.85 : 2,294.01 = 905.79 : x
  2. Step 2: Convert to fraction form
    1,529.85/2,294.01 = 905.79/x
  3. Step 3: Cross multiply
    1,529.85x = 2,294.01 × 905.79
  4. Step 4: Simplify right side
    1,529.85x = 2,077,891.32
  5. Step 5: Solve for x
    x = 2,077,891.32/1,529.85
  6. Step 6: Final answer
    x = 1,358.23

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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.