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Finding the Fourth Proportional to 2,134.02, 3,199.10 and 835.18

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Solution

The fourth proportional to 2,134.02, 3,199.10 and 835.18 is: 1,252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.02 : 3,199.10 = 835.18 : x
  2. Step 2: Convert to fraction form
    2,134.02/3,199.10 = 835.18/x
  3. Step 3: Cross multiply
    2,134.02x = 3,199.10 × 835.18
  4. Step 4: Simplify right side
    2,134.02x = 2,671,824.34
  5. Step 5: Solve for x
    x = 2,671,824.34/2,134.02
  6. Step 6: Final answer
    x = 1,252.01

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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.