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Finding the Fourth Proportional to 1,649.16, 2,473.91 and 609.44

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Solution

The fourth proportional to 1,649.16, 2,473.91 and 609.44 is: 914.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.16 : 2,473.91 = 609.44 : x
  2. Step 2: Convert to fraction form
    1,649.16/2,473.91 = 609.44/x
  3. Step 3: Cross multiply
    1,649.16x = 2,473.91 × 609.44
  4. Step 4: Simplify right side
    1,649.16x = 1,507,684.29
  5. Step 5: Solve for x
    x = 1,507,684.29/1,649.16
  6. Step 6: Final answer
    x = 914.21

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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.