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Finding the Fourth Proportional to 3,452.06, 4,763.87 and 1,880.16

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Solution

The fourth proportional to 3,452.06, 4,763.87 and 1,880.16 is: 2,594.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.06 : 4,763.87 = 1,880.16 : x
  2. Step 2: Convert to fraction form
    3,452.06/4,763.87 = 1,880.16/x
  3. Step 3: Cross multiply
    3,452.06x = 4,763.87 × 1,880.16
  4. Step 4: Simplify right side
    3,452.06x = 8,956,828.42
  5. Step 5: Solve for x
    x = 8,956,828.42/3,452.06
  6. Step 6: Final answer
    x = 2,594.63

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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.