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Finding the Fourth Proportional to 1,420.42, 1,960.86 and 1,105.06

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Solution

The fourth proportional to 1,420.42, 1,960.86 and 1,105.06 is: 1,525.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.42 : 1,960.86 = 1,105.06 : x
  2. Step 2: Convert to fraction form
    1,420.42/1,960.86 = 1,105.06/x
  3. Step 3: Cross multiply
    1,420.42x = 1,960.86 × 1,105.06
  4. Step 4: Simplify right side
    1,420.42x = 2,166,867.95
  5. Step 5: Solve for x
    x = 2,166,867.95/1,420.42
  6. Step 6: Final answer
    x = 1,525.51

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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.