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Finding the Fourth Proportional to 2,068.94, 3,103.86 and 682.58

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Solution

The fourth proportional to 2,068.94, 3,103.86 and 682.58 is: 1,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.94 : 3,103.86 = 682.58 : x
  2. Step 2: Convert to fraction form
    2,068.94/3,103.86 = 682.58/x
  3. Step 3: Cross multiply
    2,068.94x = 3,103.86 × 682.58
  4. Step 4: Simplify right side
    2,068.94x = 2,118,632.76
  5. Step 5: Solve for x
    x = 2,118,632.76/2,068.94
  6. Step 6: Final answer
    x = 1,024.02

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