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Finding the Fourth Proportional to 2,270.78, 3,133.51 and 1,275.87

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Solution

The fourth proportional to 2,270.78, 3,133.51 and 1,275.87 is: 1,760.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.78 : 3,133.51 = 1,275.87 : x
  2. Step 2: Convert to fraction form
    2,270.78/3,133.51 = 1,275.87/x
  3. Step 3: Cross multiply
    2,270.78x = 3,133.51 × 1,275.87
  4. Step 4: Simplify right side
    2,270.78x = 3,997,945.02
  5. Step 5: Solve for x
    x = 3,997,945.02/2,270.78
  6. Step 6: Final answer
    x = 1,760.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.