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Finding the Fourth Proportional to 1,837.66, 2,756.50 and 539.14

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Solution

The fourth proportional to 1,837.66, 2,756.50 and 539.14 is: 808.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.66 : 2,756.50 = 539.14 : x
  2. Step 2: Convert to fraction form
    1,837.66/2,756.50 = 539.14/x
  3. Step 3: Cross multiply
    1,837.66x = 2,756.50 × 539.14
  4. Step 4: Simplify right side
    1,837.66x = 1,486,139.41
  5. Step 5: Solve for x
    x = 1,486,139.41/1,837.66
  6. Step 6: Final answer
    x = 808.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.