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Finding the Fourth Proportional to 3,066.63, 4,600.64 and 1,118.84

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Solution

The fourth proportional to 3,066.63, 4,600.64 and 1,118.84 is: 1,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.63 : 4,600.64 = 1,118.84 : x
  2. Step 2: Convert to fraction form
    3,066.63/4,600.64 = 1,118.84/x
  3. Step 3: Cross multiply
    3,066.63x = 4,600.64 × 1,118.84
  4. Step 4: Simplify right side
    3,066.63x = 5,147,374.46
  5. Step 5: Solve for x
    x = 5,147,374.46/3,066.63
  6. Step 6: Final answer
    x = 1,678.51

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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.