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Finding the Fourth Proportional to 4,378.77, 6,568.36 and 1,604.12

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Solution

The fourth proportional to 4,378.77, 6,568.36 and 1,604.12 is: 2,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378.77 : 6,568.36 = 1,604.12 : x
  2. Step 2: Convert to fraction form
    4,378.77/6,568.36 = 1,604.12/x
  3. Step 3: Cross multiply
    4,378.77x = 6,568.36 × 1,604.12
  4. Step 4: Simplify right side
    4,378.77x = 10,536,400.79
  5. Step 5: Solve for x
    x = 10,536,400.79/4,378.77
  6. Step 6: Final answer
    x = 2,406.25

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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.