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Finding the Fourth Proportional to 1,419.93, 1,960.19 and 948.10

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Solution

The fourth proportional to 1,419.93, 1,960.19 and 948.10 is: 1,308.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.93 : 1,960.19 = 948.10 : x
  2. Step 2: Convert to fraction form
    1,419.93/1,960.19 = 948.10/x
  3. Step 3: Cross multiply
    1,419.93x = 1,960.19 × 948.10
  4. Step 4: Simplify right side
    1,419.93x = 1,858,456.14
  5. Step 5: Solve for x
    x = 1,858,456.14/1,419.93
  6. Step 6: Final answer
    x = 1,308.84

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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.