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Finding the Fourth Proportional to 1,829.79, 2,524.77 and 1,083.78

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Solution

The fourth proportional to 1,829.79, 2,524.77 and 1,083.78 is: 1,495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.79 : 2,524.77 = 1,083.78 : x
  2. Step 2: Convert to fraction form
    1,829.79/2,524.77 = 1,083.78/x
  3. Step 3: Cross multiply
    1,829.79x = 2,524.77 × 1,083.78
  4. Step 4: Simplify right side
    1,829.79x = 2,736,295.23
  5. Step 5: Solve for x
    x = 2,736,295.23/1,829.79
  6. Step 6: Final answer
    x = 1,495.41

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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.