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Finding the Fourth Proportional to 1,948.25, 2,922.69 and 650.03

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Solution

The fourth proportional to 1,948.25, 2,922.69 and 650.03 is: 975.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.25 : 2,922.69 = 650.03 : x
  2. Step 2: Convert to fraction form
    1,948.25/2,922.69 = 650.03/x
  3. Step 3: Cross multiply
    1,948.25x = 2,922.69 × 650.03
  4. Step 4: Simplify right side
    1,948.25x = 1,899,836.18
  5. Step 5: Solve for x
    x = 1,899,836.18/1,948.25
  6. Step 6: Final answer
    x = 975.15

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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.