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Finding the Fourth Proportional to 1,649.16, 2,471.58 and 999

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Solution

The fourth proportional to 1,649.16, 2,471.58 and 999 is: 1,497.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.16 : 2,471.58 = 999 : x
  2. Step 2: Convert to fraction form
    1,649.16/2,471.58 = 999/x
  3. Step 3: Cross multiply
    1,649.16x = 2,471.58 × 999
  4. Step 4: Simplify right side
    1,649.16x = 2,469,108.42
  5. Step 5: Solve for x
    x = 2,469,108.42/1,649.16
  6. Step 6: Final answer
    x = 1,497.19

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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.