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Finding the Fourth Proportional to 1,219.35, 1,825.57 and 948.60

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Solution

The fourth proportional to 1,219.35, 1,825.57 and 948.60 is: 1,420.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.35 : 1,825.57 = 948.60 : x
  2. Step 2: Convert to fraction form
    1,219.35/1,825.57 = 948.60/x
  3. Step 3: Cross multiply
    1,219.35x = 1,825.57 × 948.60
  4. Step 4: Simplify right side
    1,219.35x = 1,731,735.70
  5. Step 5: Solve for x
    x = 1,731,735.70/1,219.35
  6. Step 6: Final answer
    x = 1,420.21

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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.