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Finding the Fourth Proportional to 1,541.49, 2,310.18 and 566.67

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Solution

The fourth proportional to 1,541.49, 2,310.18 and 566.67 is: 849.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.49 : 2,310.18 = 566.67 : x
  2. Step 2: Convert to fraction form
    1,541.49/2,310.18 = 566.67/x
  3. Step 3: Cross multiply
    1,541.49x = 2,310.18 × 566.67
  4. Step 4: Simplify right side
    1,541.49x = 1,309,109.70
  5. Step 5: Solve for x
    x = 1,309,109.70/1,541.49
  6. Step 6: Final answer
    x = 849.25

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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.