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Finding the Fourth Proportional to 2,114.94, 3,173.55 and 882.45

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Solution

The fourth proportional to 2,114.94, 3,173.55 and 882.45 is: 1,324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.94 : 3,173.55 = 882.45 : x
  2. Step 2: Convert to fraction form
    2,114.94/3,173.55 = 882.45/x
  3. Step 3: Cross multiply
    2,114.94x = 3,173.55 × 882.45
  4. Step 4: Simplify right side
    2,114.94x = 2,800,515.56
  5. Step 5: Solve for x
    x = 2,800,515.56/2,114.94
  6. Step 6: Final answer
    x = 1,324.16

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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.