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Finding the Fourth Proportional to 3,166.65, 4,750.11 and 1,522.62

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Solution

The fourth proportional to 3,166.65, 4,750.11 and 1,522.62 is: 2,283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.65 : 4,750.11 = 1,522.62 : x
  2. Step 2: Convert to fraction form
    3,166.65/4,750.11 = 1,522.62/x
  3. Step 3: Cross multiply
    3,166.65x = 4,750.11 × 1,522.62
  4. Step 4: Simplify right side
    3,166.65x = 7,232,612.49
  5. Step 5: Solve for x
    x = 7,232,612.49/3,166.65
  6. Step 6: Final answer
    x = 2,283.99

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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.