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Finding the Fourth Proportional to 2,114.83, 3,173.06 and 881.91

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Solution

The fourth proportional to 2,114.83, 3,173.06 and 881.91 is: 1,323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.83 : 3,173.06 = 881.91 : x
  2. Step 2: Convert to fraction form
    2,114.83/3,173.06 = 881.91/x
  3. Step 3: Cross multiply
    2,114.83x = 3,173.06 × 881.91
  4. Step 4: Simplify right side
    2,114.83x = 2,798,348.94
  5. Step 5: Solve for x
    x = 2,798,348.94/2,114.83
  6. Step 6: Final answer
    x = 1,323.20

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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.