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Finding the Fourth Proportional to 2,114.02, 3,170.49 and 1,189.99

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Solution

The fourth proportional to 2,114.02, 3,170.49 and 1,189.99 is: 1,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.02 : 3,170.49 = 1,189.99 : x
  2. Step 2: Convert to fraction form
    2,114.02/3,170.49 = 1,189.99/x
  3. Step 3: Cross multiply
    2,114.02x = 3,170.49 × 1,189.99
  4. Step 4: Simplify right side
    2,114.02x = 3,772,851.40
  5. Step 5: Solve for x
    x = 3,772,851.40/2,114.02
  6. Step 6: Final answer
    x = 1,784.68

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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.