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Finding the Fourth Proportional to 2,326.99, 3,489.12 and 940.37

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Solution

The fourth proportional to 2,326.99, 3,489.12 and 940.37 is: 1,410.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.99 : 3,489.12 = 940.37 : x
  2. Step 2: Convert to fraction form
    2,326.99/3,489.12 = 940.37/x
  3. Step 3: Cross multiply
    2,326.99x = 3,489.12 × 940.37
  4. Step 4: Simplify right side
    2,326.99x = 3,281,063.77
  5. Step 5: Solve for x
    x = 3,281,063.77/2,326.99
  6. Step 6: Final answer
    x = 1,410.00

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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.