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Finding the Fourth Proportional to 2,111.68, 3,166.88 and 631

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Solution

The fourth proportional to 2,111.68, 3,166.88 and 631 is: 946.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.68 : 3,166.88 = 631 : x
  2. Step 2: Convert to fraction form
    2,111.68/3,166.88 = 631/x
  3. Step 3: Cross multiply
    2,111.68x = 3,166.88 × 631
  4. Step 4: Simplify right side
    2,111.68x = 1,998,301.28
  5. Step 5: Solve for x
    x = 1,998,301.28/2,111.68
  6. Step 6: Final answer
    x = 946.31

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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.