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Finding the Fourth Proportional to 3,301.14, 4,951.87 and 835.98

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Solution

The fourth proportional to 3,301.14, 4,951.87 and 835.98 is: 1,254.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.14 : 4,951.87 = 835.98 : x
  2. Step 2: Convert to fraction form
    3,301.14/4,951.87 = 835.98/x
  3. Step 3: Cross multiply
    3,301.14x = 4,951.87 × 835.98
  4. Step 4: Simplify right side
    3,301.14x = 4,139,664.28
  5. Step 5: Solve for x
    x = 4,139,664.28/3,301.14
  6. Step 6: Final answer
    x = 1,254.01

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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.