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Finding the Fourth Proportional to 1,649.36, 2,473.59 and 609.28

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Solution

The fourth proportional to 1,649.36, 2,473.59 and 609.28 is: 913.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.36 : 2,473.59 = 609.28 : x
  2. Step 2: Convert to fraction form
    1,649.36/2,473.59 = 609.28/x
  3. Step 3: Cross multiply
    1,649.36x = 2,473.59 × 609.28
  4. Step 4: Simplify right side
    1,649.36x = 1,507,118.98
  5. Step 5: Solve for x
    x = 1,507,118.98/1,649.36
  6. Step 6: Final answer
    x = 913.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.