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Finding the Fourth Proportional to 1,357.81, 2,026.46 and 1,226.59

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Solution

The fourth proportional to 1,357.81, 2,026.46 and 1,226.59 is: 1,830.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.81 : 2,026.46 = 1,226.59 : x
  2. Step 2: Convert to fraction form
    1,357.81/2,026.46 = 1,226.59/x
  3. Step 3: Cross multiply
    1,357.81x = 2,026.46 × 1,226.59
  4. Step 4: Simplify right side
    1,357.81x = 2,485,619.31
  5. Step 5: Solve for x
    x = 2,485,619.31/1,357.81
  6. Step 6: Final answer
    x = 1,830.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.