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Finding the Fourth Proportional to 2,116.63, 3,174.94 and 577.63

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Solution

The fourth proportional to 2,116.63, 3,174.94 and 577.63 is: 866.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.63 : 3,174.94 = 577.63 : x
  2. Step 2: Convert to fraction form
    2,116.63/3,174.94 = 577.63/x
  3. Step 3: Cross multiply
    2,116.63x = 3,174.94 × 577.63
  4. Step 4: Simplify right side
    2,116.63x = 1,833,940.59
  5. Step 5: Solve for x
    x = 1,833,940.59/2,116.63
  6. Step 6: Final answer
    x = 866.44

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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.