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Finding the Fourth Proportional to 2,773.95, 3,829.29 and 1,830.24

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Solution

The fourth proportional to 2,773.95, 3,829.29 and 1,830.24 is: 2,526.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.95 : 3,829.29 = 1,830.24 : x
  2. Step 2: Convert to fraction form
    2,773.95/3,829.29 = 1,830.24/x
  3. Step 3: Cross multiply
    2,773.95x = 3,829.29 × 1,830.24
  4. Step 4: Simplify right side
    2,773.95x = 7,008,519.73
  5. Step 5: Solve for x
    x = 7,008,519.73/2,773.95
  6. Step 6: Final answer
    x = 2,526.55

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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.