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Finding the Fourth Proportional to 1,836.08, 2,754.58 and 741.22

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Solution

The fourth proportional to 1,836.08, 2,754.58 and 741.22 is: 1,112.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.08 : 2,754.58 = 741.22 : x
  2. Step 2: Convert to fraction form
    1,836.08/2,754.58 = 741.22/x
  3. Step 3: Cross multiply
    1,836.08x = 2,754.58 × 741.22
  4. Step 4: Simplify right side
    1,836.08x = 2,041,741.05
  5. Step 5: Solve for x
    x = 2,041,741.05/1,836.08
  6. Step 6: Final answer
    x = 1,112.01

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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.