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Finding the Fourth Proportional to 2,068.21, 3,102.01 and 835.59

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Solution

The fourth proportional to 2,068.21, 3,102.01 and 835.59 is: 1,253.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.21 : 3,102.01 = 835.59 : x
  2. Step 2: Convert to fraction form
    2,068.21/3,102.01 = 835.59/x
  3. Step 3: Cross multiply
    2,068.21x = 3,102.01 × 835.59
  4. Step 4: Simplify right side
    2,068.21x = 2,592,004.36
  5. Step 5: Solve for x
    x = 2,592,004.36/2,068.21
  6. Step 6: Final answer
    x = 1,253.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.