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Finding the Fourth Proportional to 2,768.61, 3,820.32 and 1,706.93

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Solution

The fourth proportional to 2,768.61, 3,820.32 and 1,706.93 is: 2,355.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.61 : 3,820.32 = 1,706.93 : x
  2. Step 2: Convert to fraction form
    2,768.61/3,820.32 = 1,706.93/x
  3. Step 3: Cross multiply
    2,768.61x = 3,820.32 × 1,706.93
  4. Step 4: Simplify right side
    2,768.61x = 6,520,999.72
  5. Step 5: Solve for x
    x = 6,520,999.72/2,768.61
  6. Step 6: Final answer
    x = 2,355.33

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