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Finding the Fourth Proportional to 4,066.84, 6,103.50 and 1,602.82

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Solution

The fourth proportional to 4,066.84, 6,103.50 and 1,602.82 is: 2,405.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066.84 : 6,103.50 = 1,602.82 : x
  2. Step 2: Convert to fraction form
    4,066.84/6,103.50 = 1,602.82/x
  3. Step 3: Cross multiply
    4,066.84x = 6,103.50 × 1,602.82
  4. Step 4: Simplify right side
    4,066.84x = 9,782,811.87
  5. Step 5: Solve for x
    x = 9,782,811.87/4,066.84
  6. Step 6: Final answer
    x = 2,405.51

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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.