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Finding the Fourth Proportional to 1,836.72, 2,529.54 and 1,523.34

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Solution

The fourth proportional to 1,836.72, 2,529.54 and 1,523.34 is: 2,097.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.72 : 2,529.54 = 1,523.34 : x
  2. Step 2: Convert to fraction form
    1,836.72/2,529.54 = 1,523.34/x
  3. Step 3: Cross multiply
    1,836.72x = 2,529.54 × 1,523.34
  4. Step 4: Simplify right side
    1,836.72x = 3,853,349.46
  5. Step 5: Solve for x
    x = 3,853,349.46/1,836.72
  6. Step 6: Final answer
    x = 2,097.95

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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.