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Finding the Fourth Proportional to 2,071.09, 3,105.51 and 837.88

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Solution

The fourth proportional to 2,071.09, 3,105.51 and 837.88 is: 1,256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.09 : 3,105.51 = 837.88 : x
  2. Step 2: Convert to fraction form
    2,071.09/3,105.51 = 837.88/x
  3. Step 3: Cross multiply
    2,071.09x = 3,105.51 × 837.88
  4. Step 4: Simplify right side
    2,071.09x = 2,602,044.72
  5. Step 5: Solve for x
    x = 2,602,044.72/2,071.09
  6. Step 6: Final answer
    x = 1,256.36

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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.