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Finding the Fourth Proportional to 2,137.02, 3,203.37 and 836.70

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Solution

The fourth proportional to 2,137.02, 3,203.37 and 836.70 is: 1,254.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.02 : 3,203.37 = 836.70 : x
  2. Step 2: Convert to fraction form
    2,137.02/3,203.37 = 836.70/x
  3. Step 3: Cross multiply
    2,137.02x = 3,203.37 × 836.70
  4. Step 4: Simplify right side
    2,137.02x = 2,680,259.68
  5. Step 5: Solve for x
    x = 2,680,259.68/2,137.02
  6. Step 6: Final answer
    x = 1,254.20

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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.