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Finding the Fourth Proportional to 2,277.23, 3,417.17 and 890.49

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Solution

The fourth proportional to 2,277.23, 3,417.17 and 890.49 is: 1,336.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.23 : 3,417.17 = 890.49 : x
  2. Step 2: Convert to fraction form
    2,277.23/3,417.17 = 890.49/x
  3. Step 3: Cross multiply
    2,277.23x = 3,417.17 × 890.49
  4. Step 4: Simplify right side
    2,277.23x = 3,042,951.26
  5. Step 5: Solve for x
    x = 3,042,951.26/2,277.23
  6. Step 6: Final answer
    x = 1,336.25

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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.