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Finding the Fourth Proportional to 2,076.51, 3,099.57 and 1,830.47

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Solution

The fourth proportional to 2,076.51, 3,099.57 and 1,830.47 is: 2,732.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.51 : 3,099.57 = 1,830.47 : x
  2. Step 2: Convert to fraction form
    2,076.51/3,099.57 = 1,830.47/x
  3. Step 3: Cross multiply
    2,076.51x = 3,099.57 × 1,830.47
  4. Step 4: Simplify right side
    2,076.51x = 5,673,677.65
  5. Step 5: Solve for x
    x = 5,673,677.65/2,076.51
  6. Step 6: Final answer
    x = 2,732.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.