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Finding the Fourth Proportional to 1,824.97, 2,738.04 and 575.51

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Solution

The fourth proportional to 1,824.97, 2,738.04 and 575.51 is: 863.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.97 : 2,738.04 = 575.51 : x
  2. Step 2: Convert to fraction form
    1,824.97/2,738.04 = 575.51/x
  3. Step 3: Cross multiply
    1,824.97x = 2,738.04 × 575.51
  4. Step 4: Simplify right side
    1,824.97x = 1,575,774.09
  5. Step 5: Solve for x
    x = 1,575,774.09/1,824.97
  6. Step 6: Final answer
    x = 863.45

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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.