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Finding the Fourth Proportional to 2,774.41, 3,827.76 and 1,830.67

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Solution

The fourth proportional to 2,774.41, 3,827.76 and 1,830.67 is: 2,525.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.41 : 3,827.76 = 1,830.67 : x
  2. Step 2: Convert to fraction form
    2,774.41/3,827.76 = 1,830.67/x
  3. Step 3: Cross multiply
    2,774.41x = 3,827.76 × 1,830.67
  4. Step 4: Simplify right side
    2,774.41x = 7,007,365.40
  5. Step 5: Solve for x
    x = 7,007,365.40/2,774.41
  6. Step 6: Final answer
    x = 2,525.71

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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.