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Finding the Fourth Proportional to 2,766.78, 4,145.94 and 2,070.18

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Solution

The fourth proportional to 2,766.78, 4,145.94 and 2,070.18 is: 3,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.78 : 4,145.94 = 2,070.18 : x
  2. Step 2: Convert to fraction form
    2,766.78/4,145.94 = 2,070.18/x
  3. Step 3: Cross multiply
    2,766.78x = 4,145.94 × 2,070.18
  4. Step 4: Simplify right side
    2,766.78x = 8,582,842.07
  5. Step 5: Solve for x
    x = 8,582,842.07/2,766.78
  6. Step 6: Final answer
    x = 3,102.10

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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.