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Finding the Fourth Proportional to 1,677.57, 2,516.33 and 428.16

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Solution

The fourth proportional to 1,677.57, 2,516.33 and 428.16 is: 642.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.57 : 2,516.33 = 428.16 : x
  2. Step 2: Convert to fraction form
    1,677.57/2,516.33 = 428.16/x
  3. Step 3: Cross multiply
    1,677.57x = 2,516.33 × 428.16
  4. Step 4: Simplify right side
    1,677.57x = 1,077,391.85
  5. Step 5: Solve for x
    x = 1,077,391.85/1,677.57
  6. Step 6: Final answer
    x = 642.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.