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Finding the Fourth Proportional to 2,998.16, 4,496.92 and 946

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Solution

The fourth proportional to 2,998.16, 4,496.92 and 946 is: 1,418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.16 : 4,496.92 = 946 : x
  2. Step 2: Convert to fraction form
    2,998.16/4,496.92 = 946/x
  3. Step 3: Cross multiply
    2,998.16x = 4,496.92 × 946
  4. Step 4: Simplify right side
    2,998.16x = 4,254,086.32
  5. Step 5: Solve for x
    x = 4,254,086.32/2,998.16
  6. Step 6: Final answer
    x = 1,418.90

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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.