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Finding the Fourth Proportional to 2,706.16, 3,734.51 and 1,464.16

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Solution

The fourth proportional to 2,706.16, 3,734.51 and 1,464.16 is: 2,020.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.16 : 3,734.51 = 1,464.16 : x
  2. Step 2: Convert to fraction form
    2,706.16/3,734.51 = 1,464.16/x
  3. Step 3: Cross multiply
    2,706.16x = 3,734.51 × 1,464.16
  4. Step 4: Simplify right side
    2,706.16x = 5,467,920.16
  5. Step 5: Solve for x
    x = 5,467,920.16/2,706.16
  6. Step 6: Final answer
    x = 2,020.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.