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Finding the Fourth Proportional to 2,116.93, 3,175.31 and 577.93

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Solution

The fourth proportional to 2,116.93, 3,175.31 and 577.93 is: 866.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.93 : 3,175.31 = 577.93 : x
  2. Step 2: Convert to fraction form
    2,116.93/3,175.31 = 577.93/x
  3. Step 3: Cross multiply
    2,116.93x = 3,175.31 × 577.93
  4. Step 4: Simplify right side
    2,116.93x = 1,835,104.02
  5. Step 5: Solve for x
    x = 1,835,104.02/2,116.93
  6. Step 6: Final answer
    x = 866.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.