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Finding the Fourth Proportional to 2,070.95, 3,103.89 and 837.72

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Solution

The fourth proportional to 2,070.95, 3,103.89 and 837.72 is: 1,255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.95 : 3,103.89 = 837.72 : x
  2. Step 2: Convert to fraction form
    2,070.95/3,103.89 = 837.72/x
  3. Step 3: Cross multiply
    2,070.95x = 3,103.89 × 837.72
  4. Step 4: Simplify right side
    2,070.95x = 2,600,190.73
  5. Step 5: Solve for x
    x = 2,600,190.73/2,070.95
  6. Step 6: Final answer
    x = 1,255.56

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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.