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Finding the Fourth Proportional to 1,837.77, 2,751.19 and 1,772.16

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Solution

The fourth proportional to 1,837.77, 2,751.19 and 1,772.16 is: 2,652.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.77 : 2,751.19 = 1,772.16 : x
  2. Step 2: Convert to fraction form
    1,837.77/2,751.19 = 1,772.16/x
  3. Step 3: Cross multiply
    1,837.77x = 2,751.19 × 1,772.16
  4. Step 4: Simplify right side
    1,837.77x = 4,875,544.44
  5. Step 5: Solve for x
    x = 4,875,544.44/1,837.77
  6. Step 6: Final answer
    x = 2,652.97

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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.