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Finding the Fourth Proportional to 1,649.96, 2,474.95 and 417.28

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Solution

The fourth proportional to 1,649.96, 2,474.95 and 417.28 is: 625.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.96 : 2,474.95 = 417.28 : x
  2. Step 2: Convert to fraction form
    1,649.96/2,474.95 = 417.28/x
  3. Step 3: Cross multiply
    1,649.96x = 2,474.95 × 417.28
  4. Step 4: Simplify right side
    1,649.96x = 1,032,738.07
  5. Step 5: Solve for x
    x = 1,032,738.07/1,649.96
  6. Step 6: Final answer
    x = 625.92

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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.