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Finding the Fourth Proportional to 2,837.70, 4,254.80 and 1,193.40

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Solution

The fourth proportional to 2,837.70, 4,254.80 and 1,193.40 is: 1,789.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.70 : 4,254.80 = 1,193.40 : x
  2. Step 2: Convert to fraction form
    2,837.70/4,254.80 = 1,193.40/x
  3. Step 3: Cross multiply
    2,837.70x = 4,254.80 × 1,193.40
  4. Step 4: Simplify right side
    2,837.70x = 5,077,672.35
  5. Step 5: Solve for x
    x = 5,077,672.35/2,837.70
  6. Step 6: Final answer
    x = 1,789.36

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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.