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Finding the Fourth Proportional to 1,516.42, 2,274.64 and 542.58

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Solution

The fourth proportional to 1,516.42, 2,274.64 and 542.58 is: 813.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.42 : 2,274.64 = 542.58 : x
  2. Step 2: Convert to fraction form
    1,516.42/2,274.64 = 542.58/x
  3. Step 3: Cross multiply
    1,516.42x = 2,274.64 × 542.58
  4. Step 4: Simplify right side
    1,516.42x = 1,234,174.17
  5. Step 5: Solve for x
    x = 1,234,174.17/1,516.42
  6. Step 6: Final answer
    x = 813.87

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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.