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Finding the Fourth Proportional to 1,523.96, 2,100.05 and 1,081.09

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Solution

The fourth proportional to 1,523.96, 2,100.05 and 1,081.09 is: 1,489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.96 : 2,100.05 = 1,081.09 : x
  2. Step 2: Convert to fraction form
    1,523.96/2,100.05 = 1,081.09/x
  3. Step 3: Cross multiply
    1,523.96x = 2,100.05 × 1,081.09
  4. Step 4: Simplify right side
    1,523.96x = 2,270,332.40
  5. Step 5: Solve for x
    x = 2,270,332.40/1,523.96
  6. Step 6: Final answer
    x = 1,489.76

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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.