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Finding the Fourth Proportional to 2,333.34, 3,218.67 and 1,401.30

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Solution

The fourth proportional to 2,333.34, 3,218.67 and 1,401.30 is: 1,932.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.34 : 3,218.67 = 1,401.30 : x
  2. Step 2: Convert to fraction form
    2,333.34/3,218.67 = 1,401.30/x
  3. Step 3: Cross multiply
    2,333.34x = 3,218.67 × 1,401.30
  4. Step 4: Simplify right side
    2,333.34x = 4,510,322.27
  5. Step 5: Solve for x
    x = 4,510,322.27/2,333.34
  6. Step 6: Final answer
    x = 1,932.99

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Why These Related Problems?

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