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Finding the Fourth Proportional to 2,320.56, 3,465.50 and 2,194.20

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Solution

The fourth proportional to 2,320.56, 3,465.50 and 2,194.20 is: 3,276.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.56 : 3,465.50 = 2,194.20 : x
  2. Step 2: Convert to fraction form
    2,320.56/3,465.50 = 2,194.20/x
  3. Step 3: Cross multiply
    2,320.56x = 3,465.50 × 2,194.20
  4. Step 4: Simplify right side
    2,320.56x = 7,603,989.13
  5. Step 5: Solve for x
    x = 7,603,989.13/2,320.56
  6. Step 6: Final answer
    x = 3,276.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.