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Finding the Fourth Proportional to 2,393.84, 3,583.24 and 1,649.08

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Solution

The fourth proportional to 2,393.84, 3,583.24 and 1,649.08 is: 2,468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.84 : 3,583.24 = 1,649.08 : x
  2. Step 2: Convert to fraction form
    2,393.84/3,583.24 = 1,649.08/x
  3. Step 3: Cross multiply
    2,393.84x = 3,583.24 × 1,649.08
  4. Step 4: Simplify right side
    2,393.84x = 5,909,049.42
  5. Step 5: Solve for x
    x = 5,909,049.42/2,393.84
  6. Step 6: Final answer
    x = 2,468.44

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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.