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Finding the Fourth Proportional to 1,516.70, 2,274.84 and 542.67

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Solution

The fourth proportional to 1,516.70, 2,274.84 and 542.67 is: 813.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.70 : 2,274.84 = 542.67 : x
  2. Step 2: Convert to fraction form
    1,516.70/2,274.84 = 542.67/x
  3. Step 3: Cross multiply
    1,516.70x = 2,274.84 × 542.67
  4. Step 4: Simplify right side
    1,516.70x = 1,234,487.42
  5. Step 5: Solve for x
    x = 1,234,487.42/1,516.70
  6. Step 6: Final answer
    x = 813.93

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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.