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Finding the Fourth Proportional to 1,649.89, 2,474.91 and 417.31

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Solution

The fourth proportional to 1,649.89, 2,474.91 and 417.31 is: 625.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.89 : 2,474.91 = 417.31 : x
  2. Step 2: Convert to fraction form
    1,649.89/2,474.91 = 417.31/x
  3. Step 3: Cross multiply
    1,649.89x = 2,474.91 × 417.31
  4. Step 4: Simplify right side
    1,649.89x = 1,032,811.92
  5. Step 5: Solve for x
    x = 1,032,811.92/1,649.89
  6. Step 6: Final answer
    x = 625.99

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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.