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Finding the Fourth Proportional to 1,940.41, 2,677.78 and 1,056.22

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Solution

The fourth proportional to 1,940.41, 2,677.78 and 1,056.22 is: 1,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.41 : 2,677.78 = 1,056.22 : x
  2. Step 2: Convert to fraction form
    1,940.41/2,677.78 = 1,056.22/x
  3. Step 3: Cross multiply
    1,940.41x = 2,677.78 × 1,056.22
  4. Step 4: Simplify right side
    1,940.41x = 2,828,337.45
  5. Step 5: Solve for x
    x = 2,828,337.45/1,940.41
  6. Step 6: Final answer
    x = 1,457.59

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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.