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Finding the Fourth Proportional to 2,170.51, 3,254.79 and 1,293.42

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Solution

The fourth proportional to 2,170.51, 3,254.79 and 1,293.42 is: 1,939.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.51 : 3,254.79 = 1,293.42 : x
  2. Step 2: Convert to fraction form
    2,170.51/3,254.79 = 1,293.42/x
  3. Step 3: Cross multiply
    2,170.51x = 3,254.79 × 1,293.42
  4. Step 4: Simplify right side
    2,170.51x = 4,209,815.39
  5. Step 5: Solve for x
    x = 4,209,815.39/2,170.51
  6. Step 6: Final answer
    x = 1,939.55

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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.