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Finding the Fourth Proportional to 3,140.78, 4,709.38 and 1,293.20

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Solution

The fourth proportional to 3,140.78, 4,709.38 and 1,293.20 is: 1,939.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.78 : 4,709.38 = 1,293.20 : x
  2. Step 2: Convert to fraction form
    3,140.78/4,709.38 = 1,293.20/x
  3. Step 3: Cross multiply
    3,140.78x = 4,709.38 × 1,293.20
  4. Step 4: Simplify right side
    3,140.78x = 6,090,170.22
  5. Step 5: Solve for x
    x = 6,090,170.22/3,140.78
  6. Step 6: Final answer
    x = 1,939.06

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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.