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Finding the Fourth Proportional to 1,640.48, 2,262.15 and 1,512.29

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Solution

The fourth proportional to 1,640.48, 2,262.15 and 1,512.29 is: 2,085.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.48 : 2,262.15 = 1,512.29 : x
  2. Step 2: Convert to fraction form
    1,640.48/2,262.15 = 1,512.29/x
  3. Step 3: Cross multiply
    1,640.48x = 2,262.15 × 1,512.29
  4. Step 4: Simplify right side
    1,640.48x = 3,421,026.82
  5. Step 5: Solve for x
    x = 3,421,026.82/1,640.48
  6. Step 6: Final answer
    x = 2,085.38

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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.