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Finding the Fourth Proportional to 1,528.29, 2,109.09 and 997.52

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Solution

The fourth proportional to 1,528.29, 2,109.09 and 997.52 is: 1,376.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.29 : 2,109.09 = 997.52 : x
  2. Step 2: Convert to fraction form
    1,528.29/2,109.09 = 997.52/x
  3. Step 3: Cross multiply
    1,528.29x = 2,109.09 × 997.52
  4. Step 4: Simplify right side
    1,528.29x = 2,103,859.46
  5. Step 5: Solve for x
    x = 2,103,859.46/1,528.29
  6. Step 6: Final answer
    x = 1,376.61

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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.