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Finding the Fourth Proportional to 2,706.68, 4,059.69 and 1,146.93

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Solution

The fourth proportional to 2,706.68, 4,059.69 and 1,146.93 is: 1,720.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.68 : 4,059.69 = 1,146.93 : x
  2. Step 2: Convert to fraction form
    2,706.68/4,059.69 = 1,146.93/x
  3. Step 3: Cross multiply
    2,706.68x = 4,059.69 × 1,146.93
  4. Step 4: Simplify right side
    2,706.68x = 4,656,180.25
  5. Step 5: Solve for x
    x = 4,656,180.25/2,706.68
  6. Step 6: Final answer
    x = 1,720.26

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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.