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Finding the Fourth Proportional to 3,206.90, 4,810.36 and 2,324

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Solution

The fourth proportional to 3,206.90, 4,810.36 and 2,324 is: 3,486.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.90 : 4,810.36 = 2,324 : x
  2. Step 2: Convert to fraction form
    3,206.90/4,810.36 = 2,324/x
  3. Step 3: Cross multiply
    3,206.90x = 4,810.36 × 2,324
  4. Step 4: Simplify right side
    3,206.90x = 11,179,276.64
  5. Step 5: Solve for x
    x = 11,179,276.64/3,206.90
  6. Step 6: Final answer
    x = 3,486.01

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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.