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Finding the Fourth Proportional to 2,497.86, 3,744.69 and 1,673.64

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Solution

The fourth proportional to 2,497.86, 3,744.69 and 1,673.64 is: 2,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.86 : 3,744.69 = 1,673.64 : x
  2. Step 2: Convert to fraction form
    2,497.86/3,744.69 = 1,673.64/x
  3. Step 3: Cross multiply
    2,497.86x = 3,744.69 × 1,673.64
  4. Step 4: Simplify right side
    2,497.86x = 6,267,262.97
  5. Step 5: Solve for x
    x = 6,267,262.97/2,497.86
  6. Step 6: Final answer
    x = 2,509.05

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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.