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Finding the Fourth Proportional to 2,970.84, 4,099.62 and 1,791.64

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Solution

The fourth proportional to 2,970.84, 4,099.62 and 1,791.64 is: 2,472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.84 : 4,099.62 = 1,791.64 : x
  2. Step 2: Convert to fraction form
    2,970.84/4,099.62 = 1,791.64/x
  3. Step 3: Cross multiply
    2,970.84x = 4,099.62 × 1,791.64
  4. Step 4: Simplify right side
    2,970.84x = 7,345,043.18
  5. Step 5: Solve for x
    x = 7,345,043.18/2,970.84
  6. Step 6: Final answer
    x = 2,472.38

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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.