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Finding the Fourth Proportional to 1,835.17, 2,750.17 and 1,422.38

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Solution

The fourth proportional to 1,835.17, 2,750.17 and 1,422.38 is: 2,131.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.17 : 2,750.17 = 1,422.38 : x
  2. Step 2: Convert to fraction form
    1,835.17/2,750.17 = 1,422.38/x
  3. Step 3: Cross multiply
    1,835.17x = 2,750.17 × 1,422.38
  4. Step 4: Simplify right side
    1,835.17x = 3,911,772.16
  5. Step 5: Solve for x
    x = 3,911,772.16/1,835.17
  6. Step 6: Final answer
    x = 2,131.56

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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.