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Finding the Fourth Proportional to 2,842.26, 4,265.28 and 1,975.02

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Solution

The fourth proportional to 2,842.26, 4,265.28 and 1,975.02 is: 2,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.26 : 4,265.28 = 1,975.02 : x
  2. Step 2: Convert to fraction form
    2,842.26/4,265.28 = 1,975.02/x
  3. Step 3: Cross multiply
    2,842.26x = 4,265.28 × 1,975.02
  4. Step 4: Simplify right side
    2,842.26x = 8,424,013.31
  5. Step 5: Solve for x
    x = 8,424,013.31/2,842.26
  6. Step 6: Final answer
    x = 2,963.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.