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Finding the Fourth Proportional to 3,074.28, 4,607.10 and 2,305.32

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Solution

The fourth proportional to 3,074.28, 4,607.10 and 2,305.32 is: 3,454.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.28 : 4,607.10 = 2,305.32 : x
  2. Step 2: Convert to fraction form
    3,074.28/4,607.10 = 2,305.32/x
  3. Step 3: Cross multiply
    3,074.28x = 4,607.10 × 2,305.32
  4. Step 4: Simplify right side
    3,074.28x = 10,620,839.77
  5. Step 5: Solve for x
    x = 10,620,839.77/3,074.28
  6. Step 6: Final answer
    x = 3,454.74

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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.