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Finding the Fourth Proportional to 2,103.55, 2,902.90 and 1,172.05

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Solution

The fourth proportional to 2,103.55, 2,902.90 and 1,172.05 is: 1,617.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.55 : 2,902.90 = 1,172.05 : x
  2. Step 2: Convert to fraction form
    2,103.55/2,902.90 = 1,172.05/x
  3. Step 3: Cross multiply
    2,103.55x = 2,902.90 × 1,172.05
  4. Step 4: Simplify right side
    2,103.55x = 3,402,343.95
  5. Step 5: Solve for x
    x = 3,402,343.95/2,103.55
  6. Step 6: Final answer
    x = 1,617.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.