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Finding the Fourth Proportional to 1,400.46, 2,096.64 and 1,055.26

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Solution

The fourth proportional to 1,400.46, 2,096.64 and 1,055.26 is: 1,579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.46 : 2,096.64 = 1,055.26 : x
  2. Step 2: Convert to fraction form
    1,400.46/2,096.64 = 1,055.26/x
  3. Step 3: Cross multiply
    1,400.46x = 2,096.64 × 1,055.26
  4. Step 4: Simplify right side
    1,400.46x = 2,212,500.33
  5. Step 5: Solve for x
    x = 2,212,500.33/1,400.46
  6. Step 6: Final answer
    x = 1,579.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.