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Finding the Fourth Proportional to 1,837.76, 2,756.68 and 727.12

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Solution

The fourth proportional to 1,837.76, 2,756.68 and 727.12 is: 1,090.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.76 : 2,756.68 = 727.12 : x
  2. Step 2: Convert to fraction form
    1,837.76/2,756.68 = 727.12/x
  3. Step 3: Cross multiply
    1,837.76x = 2,756.68 × 727.12
  4. Step 4: Simplify right side
    1,837.76x = 2,004,437.16
  5. Step 5: Solve for x
    x = 2,004,437.16/1,837.76
  6. Step 6: Final answer
    x = 1,090.70

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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.