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Finding the Fourth Proportional to 2,673.86, 4,013.42 and 1,700.64

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Solution

The fourth proportional to 2,673.86, 4,013.42 and 1,700.64 is: 2,552.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.86 : 4,013.42 = 1,700.64 : x
  2. Step 2: Convert to fraction form
    2,673.86/4,013.42 = 1,700.64/x
  3. Step 3: Cross multiply
    2,673.86x = 4,013.42 × 1,700.64
  4. Step 4: Simplify right side
    2,673.86x = 6,825,374.09
  5. Step 5: Solve for x
    x = 6,825,374.09/2,673.86
  6. Step 6: Final answer
    x = 2,552.63

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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.