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Finding the Fourth Proportional to 2,754.68, 4,130.78 and 1,293.06

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Solution

The fourth proportional to 2,754.68, 4,130.78 and 1,293.06 is: 1,939.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.68 : 4,130.78 = 1,293.06 : x
  2. Step 2: Convert to fraction form
    2,754.68/4,130.78 = 1,293.06/x
  3. Step 3: Cross multiply
    2,754.68x = 4,130.78 × 1,293.06
  4. Step 4: Simplify right side
    2,754.68x = 5,341,346.39
  5. Step 5: Solve for x
    x = 5,341,346.39/2,754.68
  6. Step 6: Final answer
    x = 1,939.01

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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.