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Finding the Fourth Proportional to 1,837.51, 2,757.63 and 741.88

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Solution

The fourth proportional to 1,837.51, 2,757.63 and 741.88 is: 1,113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.51 : 2,757.63 = 741.88 : x
  2. Step 2: Convert to fraction form
    1,837.51/2,757.63 = 741.88/x
  3. Step 3: Cross multiply
    1,837.51x = 2,757.63 × 741.88
  4. Step 4: Simplify right side
    1,837.51x = 2,045,830.54
  5. Step 5: Solve for x
    x = 2,045,830.54/1,837.51
  6. Step 6: Final answer
    x = 1,113.37

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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.