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Finding the Fourth Proportional to 3,205.62, 4,807.89 and 1,561.74

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Solution

The fourth proportional to 3,205.62, 4,807.89 and 1,561.74 is: 2,342.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.62 : 4,807.89 = 1,561.74 : x
  2. Step 2: Convert to fraction form
    3,205.62/4,807.89 = 1,561.74/x
  3. Step 3: Cross multiply
    3,205.62x = 4,807.89 × 1,561.74
  4. Step 4: Simplify right side
    3,205.62x = 7,508,674.13
  5. Step 5: Solve for x
    x = 7,508,674.13/3,205.62
  6. Step 6: Final answer
    x = 2,342.35

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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.