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Finding the Fourth Proportional to 2,103.09, 3,152.21 and 1,225.89

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Solution

The fourth proportional to 2,103.09, 3,152.21 and 1,225.89 is: 1,837.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.09 : 3,152.21 = 1,225.89 : x
  2. Step 2: Convert to fraction form
    2,103.09/3,152.21 = 1,225.89/x
  3. Step 3: Cross multiply
    2,103.09x = 3,152.21 × 1,225.89
  4. Step 4: Simplify right side
    2,103.09x = 3,864,256.59
  5. Step 5: Solve for x
    x = 3,864,256.59/2,103.09
  6. Step 6: Final answer
    x = 1,837.42

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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.