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Finding the Fourth Proportional to 3,452.86, 4,765.02 and 1,880.95

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Solution

The fourth proportional to 3,452.86, 4,765.02 and 1,880.95 is: 2,595.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.86 : 4,765.02 = 1,880.95 : x
  2. Step 2: Convert to fraction form
    3,452.86/4,765.02 = 1,880.95/x
  3. Step 3: Cross multiply
    3,452.86x = 4,765.02 × 1,880.95
  4. Step 4: Simplify right side
    3,452.86x = 8,962,764.37
  5. Step 5: Solve for x
    x = 8,962,764.37/3,452.86
  6. Step 6: Final answer
    x = 2,595.75

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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.