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Finding the Fourth Proportional to 1,816.26, 2,720.73 and 948.75

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Solution

The fourth proportional to 1,816.26, 2,720.73 and 948.75 is: 1,421.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.26 : 2,720.73 = 948.75 : x
  2. Step 2: Convert to fraction form
    1,816.26/2,720.73 = 948.75/x
  3. Step 3: Cross multiply
    1,816.26x = 2,720.73 × 948.75
  4. Step 4: Simplify right side
    1,816.26x = 2,581,292.59
  5. Step 5: Solve for x
    x = 2,581,292.59/1,816.26
  6. Step 6: Final answer
    x = 1,421.21

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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.