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Finding the Fourth Proportional to 3,066.62, 4,600.34 and 985.93

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Solution

The fourth proportional to 3,066.62, 4,600.34 and 985.93 is: 1,479.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.62 : 4,600.34 = 985.93 : x
  2. Step 2: Convert to fraction form
    3,066.62/4,600.34 = 985.93/x
  3. Step 3: Cross multiply
    3,066.62x = 4,600.34 × 985.93
  4. Step 4: Simplify right side
    3,066.62x = 4,535,613.22
  5. Step 5: Solve for x
    x = 4,535,613.22/3,066.62
  6. Step 6: Final answer
    x = 1,479.03

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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.