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Finding the Fourth Proportional to 2,756.69, 4,132.30 and 1,293.22

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Solution

The fourth proportional to 2,756.69, 4,132.30 and 1,293.22 is: 1,938.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.69 : 4,132.30 = 1,293.22 : x
  2. Step 2: Convert to fraction form
    2,756.69/4,132.30 = 1,293.22/x
  3. Step 3: Cross multiply
    2,756.69x = 4,132.30 × 1,293.22
  4. Step 4: Simplify right side
    2,756.69x = 5,343,973.01
  5. Step 5: Solve for x
    x = 5,343,973.01/2,756.69
  6. Step 6: Final answer
    x = 1,938.55

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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.