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Finding the Fourth Proportional to 2,697.93, 3,724.07 and 1,649.61

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Solution

The fourth proportional to 2,697.93, 3,724.07 and 1,649.61 is: 2,277.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.93 : 3,724.07 = 1,649.61 : x
  2. Step 2: Convert to fraction form
    2,697.93/3,724.07 = 1,649.61/x
  3. Step 3: Cross multiply
    2,697.93x = 3,724.07 × 1,649.61
  4. Step 4: Simplify right side
    2,697.93x = 6,143,254.86
  5. Step 5: Solve for x
    x = 6,143,254.86/2,697.93
  6. Step 6: Final answer
    x = 2,277.03

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1.5x scale

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.