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Finding the Fourth Proportional to 1,940.46, 2,677.84 and 1,056.26

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Solution

The fourth proportional to 1,940.46, 2,677.84 and 1,056.26 is: 1,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.46 : 2,677.84 = 1,056.26 : x
  2. Step 2: Convert to fraction form
    1,940.46/2,677.84 = 1,056.26/x
  3. Step 3: Cross multiply
    1,940.46x = 2,677.84 × 1,056.26
  4. Step 4: Simplify right side
    1,940.46x = 2,828,495.28
  5. Step 5: Solve for x
    x = 2,828,495.28/1,940.46
  6. Step 6: Final answer
    x = 1,457.64

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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.