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Finding the Fourth Proportional to 1,649.92, 2,473.52 and 1,341

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Solution

The fourth proportional to 1,649.92, 2,473.52 and 1,341 is: 2,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.92 : 2,473.52 = 1,341 : x
  2. Step 2: Convert to fraction form
    1,649.92/2,473.52 = 1,341/x
  3. Step 3: Cross multiply
    1,649.92x = 2,473.52 × 1,341
  4. Step 4: Simplify right side
    1,649.92x = 3,316,990.32
  5. Step 5: Solve for x
    x = 3,316,990.32/1,649.92
  6. Step 6: Final answer
    x = 2,010.39

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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.