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Finding the Fourth Proportional to 1,889.04, 2,832.40 and 734.56

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Solution

The fourth proportional to 1,889.04, 2,832.40 and 734.56 is: 1,101.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.04 : 2,832.40 = 734.56 : x
  2. Step 2: Convert to fraction form
    1,889.04/2,832.40 = 734.56/x
  3. Step 3: Cross multiply
    1,889.04x = 2,832.40 × 734.56
  4. Step 4: Simplify right side
    1,889.04x = 2,080,567.74
  5. Step 5: Solve for x
    x = 2,080,567.74/1,889.04
  6. Step 6: Final answer
    x = 1,101.39

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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.