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Finding the Fourth Proportional to 3,144.83, 4,719.06 and 1,295.60

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Solution

The fourth proportional to 3,144.83, 4,719.06 and 1,295.60 is: 1,944.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.83 : 4,719.06 = 1,295.60 : x
  2. Step 2: Convert to fraction form
    3,144.83/4,719.06 = 1,295.60/x
  3. Step 3: Cross multiply
    3,144.83x = 4,719.06 × 1,295.60
  4. Step 4: Simplify right side
    3,144.83x = 6,113,990.54
  5. Step 5: Solve for x
    x = 6,113,990.54/3,144.83
  6. Step 6: Final answer
    x = 1,944.14

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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.