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Finding the Fourth Proportional to 3,082.57, 4,624.58 and 1,002.58

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Solution

The fourth proportional to 3,082.57, 4,624.58 and 1,002.58 is: 1,504.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.57 : 4,624.58 = 1,002.58 : x
  2. Step 2: Convert to fraction form
    3,082.57/4,624.58 = 1,002.58/x
  3. Step 3: Cross multiply
    3,082.57x = 4,624.58 × 1,002.58
  4. Step 4: Simplify right side
    3,082.57x = 4,636,511.42
  5. Step 5: Solve for x
    x = 4,636,511.42/3,082.57
  6. Step 6: Final answer
    x = 1,504.11

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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.