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Finding the Fourth Proportional to 1,774.50, 2,662.14 and 542

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Solution

The fourth proportional to 1,774.50, 2,662.14 and 542 is: 813.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.50 : 2,662.14 = 542 : x
  2. Step 2: Convert to fraction form
    1,774.50/2,662.14 = 542/x
  3. Step 3: Cross multiply
    1,774.50x = 2,662.14 × 542
  4. Step 4: Simplify right side
    1,774.50x = 1,442,879.88
  5. Step 5: Solve for x
    x = 1,442,879.88/1,774.50
  6. Step 6: Final answer
    x = 813.12

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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.