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Finding the Fourth Proportional to 2,326.05, 3,489.24 and 594.66

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Solution

The fourth proportional to 2,326.05, 3,489.24 and 594.66 is: 892.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.05 : 3,489.24 = 594.66 : x
  2. Step 2: Convert to fraction form
    2,326.05/3,489.24 = 594.66/x
  3. Step 3: Cross multiply
    2,326.05x = 3,489.24 × 594.66
  4. Step 4: Simplify right side
    2,326.05x = 2,074,911.46
  5. Step 5: Solve for x
    x = 2,074,911.46/2,326.05
  6. Step 6: Final answer
    x = 892.03

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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.