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Finding the Fourth Proportional to 2,326.35, 3,489.53 and 571.33

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Solution

The fourth proportional to 2,326.35, 3,489.53 and 571.33 is: 857.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.35 : 3,489.53 = 571.33 : x
  2. Step 2: Convert to fraction form
    2,326.35/3,489.53 = 571.33/x
  3. Step 3: Cross multiply
    2,326.35x = 3,489.53 × 571.33
  4. Step 4: Simplify right side
    2,326.35x = 1,993,678.72
  5. Step 5: Solve for x
    x = 1,993,678.72/2,326.35
  6. Step 6: Final answer
    x = 857.00

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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.