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Finding the Fourth Proportional to 2,070.46, 2,859.45 and 2,022.78

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Solution

The fourth proportional to 2,070.46, 2,859.45 and 2,022.78 is: 2,793.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.46 : 2,859.45 = 2,022.78 : x
  2. Step 2: Convert to fraction form
    2,070.46/2,859.45 = 2,022.78/x
  3. Step 3: Cross multiply
    2,070.46x = 2,859.45 × 2,022.78
  4. Step 4: Simplify right side
    2,070.46x = 5,784,041.41
  5. Step 5: Solve for x
    x = 5,784,041.41/2,070.46
  6. Step 6: Final answer
    x = 2,793.60

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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.