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Finding the Fourth Proportional to 2,170.74, 3,253.30 and 1,390.44

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Solution

The fourth proportional to 2,170.74, 3,253.30 and 1,390.44 is: 2,083.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.74 : 3,253.30 = 1,390.44 : x
  2. Step 2: Convert to fraction form
    2,170.74/3,253.30 = 1,390.44/x
  3. Step 3: Cross multiply
    2,170.74x = 3,253.30 × 1,390.44
  4. Step 4: Simplify right side
    2,170.74x = 4,523,518.45
  5. Step 5: Solve for x
    x = 4,523,518.45/2,170.74
  6. Step 6: Final answer
    x = 2,083.86

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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.