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Finding the Fourth Proportional to 1,677.76, 2,516.72 and 445.30

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Solution

The fourth proportional to 1,677.76, 2,516.72 and 445.30 is: 667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.76 : 2,516.72 = 445.30 : x
  2. Step 2: Convert to fraction form
    1,677.76/2,516.72 = 445.30/x
  3. Step 3: Cross multiply
    1,677.76x = 2,516.72 × 445.30
  4. Step 4: Simplify right side
    1,677.76x = 1,120,689.40
  5. Step 5: Solve for x
    x = 1,120,689.40/1,677.76
  6. Step 6: Final answer
    x = 667.97

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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.