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Finding the Fourth Proportional to 2,305.92, 3,457.80 and 1,008.48

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Solution

The fourth proportional to 2,305.92, 3,457.80 and 1,008.48 is: 1,512.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.92 : 3,457.80 = 1,008.48 : x
  2. Step 2: Convert to fraction form
    2,305.92/3,457.80 = 1,008.48/x
  3. Step 3: Cross multiply
    2,305.92x = 3,457.80 × 1,008.48
  4. Step 4: Simplify right side
    2,305.92x = 3,487,122.14
  5. Step 5: Solve for x
    x = 3,487,122.14/2,305.92
  6. Step 6: Final answer
    x = 1,512.25

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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.