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Finding the Fourth Proportional to 2,333.36, 3,216.30 and 2,142.65

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Solution

The fourth proportional to 2,333.36, 3,216.30 and 2,142.65 is: 2,953.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.36 : 3,216.30 = 2,142.65 : x
  2. Step 2: Convert to fraction form
    2,333.36/3,216.30 = 2,142.65/x
  3. Step 3: Cross multiply
    2,333.36x = 3,216.30 × 2,142.65
  4. Step 4: Simplify right side
    2,333.36x = 6,891,405.20
  5. Step 5: Solve for x
    x = 6,891,405.20/2,333.36
  6. Step 6: Final answer
    x = 2,953.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.