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Finding the Fourth Proportional to 3,452, 4,763.70 and 1,880.08

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Solution

The fourth proportional to 3,452, 4,763.70 and 1,880.08 is: 2,594.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452 : 4,763.70 = 1,880.08 : x
  2. Step 2: Convert to fraction form
    3,452/4,763.70 = 1,880.08/x
  3. Step 3: Cross multiply
    3,452x = 4,763.70 × 1,880.08
  4. Step 4: Simplify right side
    3,452x = 8,956,137.10
  5. Step 5: Solve for x
    x = 8,956,137.10/3,452
  6. Step 6: Final answer
    x = 2,594.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.