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Finding the Fourth Proportional to 2,293.33, 3,440.01 and 561.96

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Solution

The fourth proportional to 2,293.33, 3,440.01 and 561.96 is: 842.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.33 : 3,440.01 = 561.96 : x
  2. Step 2: Convert to fraction form
    2,293.33/3,440.01 = 561.96/x
  3. Step 3: Cross multiply
    2,293.33x = 3,440.01 × 561.96
  4. Step 4: Simplify right side
    2,293.33x = 1,933,148.02
  5. Step 5: Solve for x
    x = 1,933,148.02/2,293.33
  6. Step 6: Final answer
    x = 842.94

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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.