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Finding the Fourth Proportional to 1,448.38, 2,173.62 and 985.06

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Solution

The fourth proportional to 1,448.38, 2,173.62 and 985.06 is: 1,478.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.38 : 2,173.62 = 985.06 : x
  2. Step 2: Convert to fraction form
    1,448.38/2,173.62 = 985.06/x
  3. Step 3: Cross multiply
    1,448.38x = 2,173.62 × 985.06
  4. Step 4: Simplify right side
    1,448.38x = 2,141,146.12
  5. Step 5: Solve for x
    x = 2,141,146.12/1,448.38
  6. Step 6: Final answer
    x = 1,478.30

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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.