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Finding the Fourth Proportional to 1,648.33, 2,274.81 and 1,059.05

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Solution

The fourth proportional to 1,648.33, 2,274.81 and 1,059.05 is: 1,461.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.33 : 2,274.81 = 1,059.05 : x
  2. Step 2: Convert to fraction form
    1,648.33/2,274.81 = 1,059.05/x
  3. Step 3: Cross multiply
    1,648.33x = 2,274.81 × 1,059.05
  4. Step 4: Simplify right side
    1,648.33x = 2,409,137.53
  5. Step 5: Solve for x
    x = 2,409,137.53/1,648.33
  6. Step 6: Final answer
    x = 1,461.56

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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.