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Finding the Fourth Proportional to 1,919.71, 2,649.23 and 1,133.75

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Solution

The fourth proportional to 1,919.71, 2,649.23 and 1,133.75 is: 1,564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.71 : 2,649.23 = 1,133.75 : x
  2. Step 2: Convert to fraction form
    1,919.71/2,649.23 = 1,133.75/x
  3. Step 3: Cross multiply
    1,919.71x = 2,649.23 × 1,133.75
  4. Step 4: Simplify right side
    1,919.71x = 3,003,564.51
  5. Step 5: Solve for x
    x = 3,003,564.51/1,919.71
  6. Step 6: Final answer
    x = 1,564.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.