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Finding the Fourth Proportional to 2,894.55, 3,992.82 and 1,830.36

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Solution

The fourth proportional to 2,894.55, 3,992.82 and 1,830.36 is: 2,524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.55 : 3,992.82 = 1,830.36 : x
  2. Step 2: Convert to fraction form
    2,894.55/3,992.82 = 1,830.36/x
  3. Step 3: Cross multiply
    2,894.55x = 3,992.82 × 1,830.36
  4. Step 4: Simplify right side
    2,894.55x = 7,308,298.02
  5. Step 5: Solve for x
    x = 7,308,298.02/2,894.55
  6. Step 6: Final answer
    x = 2,524.85

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