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Finding the Fourth Proportional to 2,706.67, 4,062.30 and 1,064.35

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Solution

The fourth proportional to 2,706.67, 4,062.30 and 1,064.35 is: 1,597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.67 : 4,062.30 = 1,064.35 : x
  2. Step 2: Convert to fraction form
    2,706.67/4,062.30 = 1,064.35/x
  3. Step 3: Cross multiply
    2,706.67x = 4,062.30 × 1,064.35
  4. Step 4: Simplify right side
    2,706.67x = 4,323,709.01
  5. Step 5: Solve for x
    x = 4,323,709.01/2,706.67
  6. Step 6: Final answer
    x = 1,597.43

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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.