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Finding the Fourth Proportional to 2,190.71, 3,023.57 and 1,306.57

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Solution

The fourth proportional to 2,190.71, 3,023.57 and 1,306.57 is: 1,803.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.71 : 3,023.57 = 1,306.57 : x
  2. Step 2: Convert to fraction form
    2,190.71/3,023.57 = 1,306.57/x
  3. Step 3: Cross multiply
    2,190.71x = 3,023.57 × 1,306.57
  4. Step 4: Simplify right side
    2,190.71x = 3,950,512.90
  5. Step 5: Solve for x
    x = 3,950,512.90/2,190.71
  6. Step 6: Final answer
    x = 1,803.30

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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.