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Finding the Fourth Proportional to 3,204.66, 4,808.36 and 1,561.22

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Solution

The fourth proportional to 3,204.66, 4,808.36 and 1,561.22 is: 2,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.66 : 4,808.36 = 1,561.22 : x
  2. Step 2: Convert to fraction form
    3,204.66/4,808.36 = 1,561.22/x
  3. Step 3: Cross multiply
    3,204.66x = 4,808.36 × 1,561.22
  4. Step 4: Simplify right side
    3,204.66x = 7,506,932.74
  5. Step 5: Solve for x
    x = 7,506,932.74/3,204.66
  6. Step 6: Final answer
    x = 2,342.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.