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Finding the Fourth Proportional to 3,009.06, 4,151.54 and 1,682.51

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Solution

The fourth proportional to 3,009.06, 4,151.54 and 1,682.51 is: 2,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.06 : 4,151.54 = 1,682.51 : x
  2. Step 2: Convert to fraction form
    3,009.06/4,151.54 = 1,682.51/x
  3. Step 3: Cross multiply
    3,009.06x = 4,151.54 × 1,682.51
  4. Step 4: Simplify right side
    3,009.06x = 6,985,006.16
  5. Step 5: Solve for x
    x = 6,985,006.16/3,009.06
  6. Step 6: Final answer
    x = 2,321.32

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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.