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Finding the Fourth Proportional to 1,420.05, 1,960.37 and 948.23

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Solution

The fourth proportional to 1,420.05, 1,960.37 and 948.23 is: 1,309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.05 : 1,960.37 = 948.23 : x
  2. Step 2: Convert to fraction form
    1,420.05/1,960.37 = 948.23/x
  3. Step 3: Cross multiply
    1,420.05x = 1,960.37 × 948.23
  4. Step 4: Simplify right side
    1,420.05x = 1,858,867.10
  5. Step 5: Solve for x
    x = 1,858,867.10/1,420.05
  6. Step 6: Final answer
    x = 1,309.02

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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.