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Finding the Fourth Proportional to 1,681.17, 2,523.22 and 1,216.73

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Solution

The fourth proportional to 1,681.17, 2,523.22 and 1,216.73 is: 1,826.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.17 : 2,523.22 = 1,216.73 : x
  2. Step 2: Convert to fraction form
    1,681.17/2,523.22 = 1,216.73/x
  3. Step 3: Cross multiply
    1,681.17x = 2,523.22 × 1,216.73
  4. Step 4: Simplify right side
    1,681.17x = 3,070,080.74
  5. Step 5: Solve for x
    x = 3,070,080.74/1,681.17
  6. Step 6: Final answer
    x = 1,826.16

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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.