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Finding the Fourth Proportional to 2,068.94, 3,100.70 and 1,778.42

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Solution

The fourth proportional to 2,068.94, 3,100.70 and 1,778.42 is: 2,665.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.94 : 3,100.70 = 1,778.42 : x
  2. Step 2: Convert to fraction form
    2,068.94/3,100.70 = 1,778.42/x
  3. Step 3: Cross multiply
    2,068.94x = 3,100.70 × 1,778.42
  4. Step 4: Simplify right side
    2,068.94x = 5,514,346.89
  5. Step 5: Solve for x
    x = 5,514,346.89/2,068.94
  6. Step 6: Final answer
    x = 2,665.30

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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.