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Finding the Fourth Proportional to 2,116.41, 3,174.66 and 577.41

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Solution

The fourth proportional to 2,116.41, 3,174.66 and 577.41 is: 866.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.41 : 3,174.66 = 577.41 : x
  2. Step 2: Convert to fraction form
    2,116.41/3,174.66 = 577.41/x
  3. Step 3: Cross multiply
    2,116.41x = 3,174.66 × 577.41
  4. Step 4: Simplify right side
    2,116.41x = 1,833,080.43
  5. Step 5: Solve for x
    x = 1,833,080.43/2,116.41
  6. Step 6: Final answer
    x = 866.13

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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.