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Finding the Fourth Proportional to 1,649.06, 2,473.59 and 494.81

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Solution

The fourth proportional to 1,649.06, 2,473.59 and 494.81 is: 742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.06 : 2,473.59 = 494.81 : x
  2. Step 2: Convert to fraction form
    1,649.06/2,473.59 = 494.81/x
  3. Step 3: Cross multiply
    1,649.06x = 2,473.59 × 494.81
  4. Step 4: Simplify right side
    1,649.06x = 1,223,965.11
  5. Step 5: Solve for x
    x = 1,223,965.11/1,649.06
  6. Step 6: Final answer
    x = 742.22

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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.