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Finding the Fourth Proportional to 3,204.90, 4,807.35 and 2,322

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Solution

The fourth proportional to 3,204.90, 4,807.35 and 2,322 is: 3,483.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.90 : 4,807.35 = 2,322 : x
  2. Step 2: Convert to fraction form
    3,204.90/4,807.35 = 2,322/x
  3. Step 3: Cross multiply
    3,204.90x = 4,807.35 × 2,322
  4. Step 4: Simplify right side
    3,204.90x = 11,162,666.70
  5. Step 5: Solve for x
    x = 11,162,666.70/3,204.90
  6. Step 6: Final answer
    x = 3,483.00

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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.