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Finding the Fourth Proportional to 1,426.70, 1,969.74 and 1,094.48

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Solution

The fourth proportional to 1,426.70, 1,969.74 and 1,094.48 is: 1,511.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.70 : 1,969.74 = 1,094.48 : x
  2. Step 2: Convert to fraction form
    1,426.70/1,969.74 = 1,094.48/x
  3. Step 3: Cross multiply
    1,426.70x = 1,969.74 × 1,094.48
  4. Step 4: Simplify right side
    1,426.70x = 2,155,845.96
  5. Step 5: Solve for x
    x = 2,155,845.96/1,426.70
  6. Step 6: Final answer
    x = 1,511.08

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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.