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Finding the Fourth Proportional to 1,925.66, 2,887.88 and 829.73

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Solution

The fourth proportional to 1,925.66, 2,887.88 and 829.73 is: 1,244.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.66 : 2,887.88 = 829.73 : x
  2. Step 2: Convert to fraction form
    1,925.66/2,887.88 = 829.73/x
  3. Step 3: Cross multiply
    1,925.66x = 2,887.88 × 829.73
  4. Step 4: Simplify right side
    1,925.66x = 2,396,142.08
  5. Step 5: Solve for x
    x = 2,396,142.08/1,925.66
  6. Step 6: Final answer
    x = 1,244.33

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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.