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Finding the Fourth Proportional to 3,499.84, 5,248.64 and 1,649.84

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Solution

The fourth proportional to 3,499.84, 5,248.64 and 1,649.84 is: 2,474.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.84 : 5,248.64 = 1,649.84 : x
  2. Step 2: Convert to fraction form
    3,499.84/5,248.64 = 1,649.84/x
  3. Step 3: Cross multiply
    3,499.84x = 5,248.64 × 1,649.84
  4. Step 4: Simplify right side
    3,499.84x = 8,659,416.22
  5. Step 5: Solve for x
    x = 8,659,416.22/3,499.84
  6. Step 6: Final answer
    x = 2,474.23

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1.5x scale

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.