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Finding the Fourth Proportional to 2,968.84, 4,095.84 and 1,790.02

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Solution

The fourth proportional to 2,968.84, 4,095.84 and 1,790.02 is: 2,469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.84 : 4,095.84 = 1,790.02 : x
  2. Step 2: Convert to fraction form
    2,968.84/4,095.84 = 1,790.02/x
  3. Step 3: Cross multiply
    2,968.84x = 4,095.84 × 1,790.02
  4. Step 4: Simplify right side
    2,968.84x = 7,331,635.52
  5. Step 5: Solve for x
    x = 7,331,635.52/2,968.84
  6. Step 6: Final answer
    x = 2,469.53

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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.