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Finding the Fourth Proportional to 3,317.78, 4,578.65 and 1,825.81

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Solution

The fourth proportional to 3,317.78, 4,578.65 and 1,825.81 is: 2,519.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,317.78 : 4,578.65 = 1,825.81 : x
  2. Step 2: Convert to fraction form
    3,317.78/4,578.65 = 1,825.81/x
  3. Step 3: Cross multiply
    3,317.78x = 4,578.65 × 1,825.81
  4. Step 4: Simplify right side
    3,317.78x = 8,359,712.93
  5. Step 5: Solve for x
    x = 8,359,712.93/3,317.78
  6. Step 6: Final answer
    x = 2,519.67

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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.