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Finding the Fourth Proportional to 2,380.29, 3,570.44 and 1,390.68

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Solution

The fourth proportional to 2,380.29, 3,570.44 and 1,390.68 is: 2,086.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.29 : 3,570.44 = 1,390.68 : x
  2. Step 2: Convert to fraction form
    2,380.29/3,570.44 = 1,390.68/x
  3. Step 3: Cross multiply
    2,380.29x = 3,570.44 × 1,390.68
  4. Step 4: Simplify right side
    2,380.29x = 4,965,332.55
  5. Step 5: Solve for x
    x = 4,965,332.55/2,380.29
  6. Step 6: Final answer
    x = 2,086.02

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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.