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Finding the Fourth Proportional to 3,294.16, 4,942.10 and 985.66

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Solution

The fourth proportional to 3,294.16, 4,942.10 and 985.66 is: 1,478.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.16 : 4,942.10 = 985.66 : x
  2. Step 2: Convert to fraction form
    3,294.16/4,942.10 = 985.66/x
  3. Step 3: Cross multiply
    3,294.16x = 4,942.10 × 985.66
  4. Step 4: Simplify right side
    3,294.16x = 4,871,200.65
  5. Step 5: Solve for x
    x = 4,871,200.65/3,294.16
  6. Step 6: Final answer
    x = 1,478.74

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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.