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Finding the Fourth Proportional to 1,649.67, 2,472.07 and 919.05

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Solution

The fourth proportional to 1,649.67, 2,472.07 and 919.05 is: 1,377.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.67 : 2,472.07 = 919.05 : x
  2. Step 2: Convert to fraction form
    1,649.67/2,472.07 = 919.05/x
  3. Step 3: Cross multiply
    1,649.67x = 2,472.07 × 919.05
  4. Step 4: Simplify right side
    1,649.67x = 2,271,955.93
  5. Step 5: Solve for x
    x = 2,271,955.93/1,649.67
  6. Step 6: Final answer
    x = 1,377.22

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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.