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Finding the Fourth Proportional to 1,649.63, 2,474.53 and 417.05

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Solution

The fourth proportional to 1,649.63, 2,474.53 and 417.05 is: 625.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.63 : 2,474.53 = 417.05 : x
  2. Step 2: Convert to fraction form
    1,649.63/2,474.53 = 417.05/x
  3. Step 3: Cross multiply
    1,649.63x = 2,474.53 × 417.05
  4. Step 4: Simplify right side
    1,649.63x = 1,032,001.70
  5. Step 5: Solve for x
    x = 1,032,001.70/1,649.63
  6. Step 6: Final answer
    x = 625.60

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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.