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Finding the Fourth Proportional to 1,649.63, 2,474.01 and 609.93

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Solution

The fourth proportional to 1,649.63, 2,474.01 and 609.93 is: 914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.63 : 2,474.01 = 609.93 : x
  2. Step 2: Convert to fraction form
    1,649.63/2,474.01 = 609.93/x
  3. Step 3: Cross multiply
    1,649.63x = 2,474.01 × 609.93
  4. Step 4: Simplify right side
    1,649.63x = 1,508,959.04
  5. Step 5: Solve for x
    x = 1,508,959.04/1,649.63
  6. Step 6: Final answer
    x = 914.73

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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.