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Finding the Fourth Proportional to 2,180.69, 3,009.04 and 1,648.79

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Solution

The fourth proportional to 2,180.69, 3,009.04 and 1,648.79 is: 2,275.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.69 : 3,009.04 = 1,648.79 : x
  2. Step 2: Convert to fraction form
    2,180.69/3,009.04 = 1,648.79/x
  3. Step 3: Cross multiply
    2,180.69x = 3,009.04 × 1,648.79
  4. Step 4: Simplify right side
    2,180.69x = 4,961,255.89
  5. Step 5: Solve for x
    x = 4,961,255.89/2,180.69
  6. Step 6: Final answer
    x = 2,275.09

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