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Finding the Fourth Proportional to 1,837.54, 2,756.45 and 521.27

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Solution

The fourth proportional to 1,837.54, 2,756.45 and 521.27 is: 781.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.54 : 2,756.45 = 521.27 : x
  2. Step 2: Convert to fraction form
    1,837.54/2,756.45 = 521.27/x
  3. Step 3: Cross multiply
    1,837.54x = 2,756.45 × 521.27
  4. Step 4: Simplify right side
    1,837.54x = 1,436,854.69
  5. Step 5: Solve for x
    x = 1,436,854.69/1,837.54
  6. Step 6: Final answer
    x = 781.94

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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.