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Finding the Fourth Proportional to 2,116.67, 3,169.73 and 1,530.63

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Solution

The fourth proportional to 2,116.67, 3,169.73 and 1,530.63 is: 2,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.67 : 3,169.73 = 1,530.63 : x
  2. Step 2: Convert to fraction form
    2,116.67/3,169.73 = 1,530.63/x
  3. Step 3: Cross multiply
    2,116.67x = 3,169.73 × 1,530.63
  4. Step 4: Simplify right side
    2,116.67x = 4,851,687.66
  5. Step 5: Solve for x
    x = 4,851,687.66/2,116.67
  6. Step 6: Final answer
    x = 2,292.14

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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.