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Finding the Fourth Proportional to 1,529.24, 2,294.24 and 835.72

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Solution

The fourth proportional to 1,529.24, 2,294.24 and 835.72 is: 1,253.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.24 : 2,294.24 = 835.72 : x
  2. Step 2: Convert to fraction form
    1,529.24/2,294.24 = 835.72/x
  3. Step 3: Cross multiply
    1,529.24x = 2,294.24 × 835.72
  4. Step 4: Simplify right side
    1,529.24x = 1,917,342.25
  5. Step 5: Solve for x
    x = 1,917,342.25/1,529.24
  6. Step 6: Final answer
    x = 1,253.79

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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.