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Finding the Fourth Proportional to 1,609.26, 2,220.57 and 910.50

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Solution

The fourth proportional to 1,609.26, 2,220.57 and 910.50 is: 1,256.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.26 : 2,220.57 = 910.50 : x
  2. Step 2: Convert to fraction form
    1,609.26/2,220.57 = 910.50/x
  3. Step 3: Cross multiply
    1,609.26x = 2,220.57 × 910.50
  4. Step 4: Simplify right side
    1,609.26x = 2,021,828.99
  5. Step 5: Solve for x
    x = 2,021,828.99/1,609.26
  6. Step 6: Final answer
    x = 1,256.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.