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Finding the Fourth Proportional to 2,116.32, 3,174.45 and 577.32

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Solution

The fourth proportional to 2,116.32, 3,174.45 and 577.32 is: 865.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.32 : 3,174.45 = 577.32 : x
  2. Step 2: Convert to fraction form
    2,116.32/3,174.45 = 577.32/x
  3. Step 3: Cross multiply
    2,116.32x = 3,174.45 × 577.32
  4. Step 4: Simplify right side
    2,116.32x = 1,832,673.47
  5. Step 5: Solve for x
    x = 1,832,673.47/2,116.32
  6. Step 6: Final answer
    x = 865.97

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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.