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Finding the Fourth Proportional to 4,082.50, 6,124.56 and 1,742.50

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Solution

The fourth proportional to 4,082.50, 6,124.56 and 1,742.50 is: 2,614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082.50 : 6,124.56 = 1,742.50 : x
  2. Step 2: Convert to fraction form
    4,082.50/6,124.56 = 1,742.50/x
  3. Step 3: Cross multiply
    4,082.50x = 6,124.56 × 1,742.50
  4. Step 4: Simplify right side
    4,082.50x = 10,672,045.80
  5. Step 5: Solve for x
    x = 10,672,045.80/4,082.50
  6. Step 6: Final answer
    x = 2,614.10

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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.