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Finding the Fourth Proportional to 1,837.25, 2,756.28 and 538.82

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Solution

The fourth proportional to 1,837.25, 2,756.28 and 538.82 is: 808.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.25 : 2,756.28 = 538.82 : x
  2. Step 2: Convert to fraction form
    1,837.25/2,756.28 = 538.82/x
  3. Step 3: Cross multiply
    1,837.25x = 2,756.28 × 538.82
  4. Step 4: Simplify right side
    1,837.25x = 1,485,138.79
  5. Step 5: Solve for x
    x = 1,485,138.79/1,837.25
  6. Step 6: Final answer
    x = 808.35

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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.