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Finding the Fourth Proportional to 3,082.64, 4,621.52 and 1,782.64

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Solution

The fourth proportional to 3,082.64, 4,621.52 and 1,782.64 is: 2,672.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.64 : 4,621.52 = 1,782.64 : x
  2. Step 2: Convert to fraction form
    3,082.64/4,621.52 = 1,782.64/x
  3. Step 3: Cross multiply
    3,082.64x = 4,621.52 × 1,782.64
  4. Step 4: Simplify right side
    3,082.64x = 8,238,506.41
  5. Step 5: Solve for x
    x = 8,238,506.41/3,082.64
  6. Step 6: Final answer
    x = 2,672.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.