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Finding the Fourth Proportional to 1,516.46, 2,272.71 and 682.91

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Solution

The fourth proportional to 1,516.46, 2,272.71 and 682.91 is: 1,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.46 : 2,272.71 = 682.91 : x
  2. Step 2: Convert to fraction form
    1,516.46/2,272.71 = 682.91/x
  3. Step 3: Cross multiply
    1,516.46x = 2,272.71 × 682.91
  4. Step 4: Simplify right side
    1,516.46x = 1,552,045.02
  5. Step 5: Solve for x
    x = 1,552,045.02/1,516.46
  6. Step 6: Final answer
    x = 1,023.47

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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.