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Finding the Fourth Proportional to 2,935.78, 4,406.10 and 1,293.10

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Solution

The fourth proportional to 2,935.78, 4,406.10 and 1,293.10 is: 1,940.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.78 : 4,406.10 = 1,293.10 : x
  2. Step 2: Convert to fraction form
    2,935.78/4,406.10 = 1,293.10/x
  3. Step 3: Cross multiply
    2,935.78x = 4,406.10 × 1,293.10
  4. Step 4: Simplify right side
    2,935.78x = 5,697,527.91
  5. Step 5: Solve for x
    x = 5,697,527.91/2,935.78
  6. Step 6: Final answer
    x = 1,940.72

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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.