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Finding the Fourth Proportional to 2,013.96, 3,018.12 and 1,090.02

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Solution

The fourth proportional to 2,013.96, 3,018.12 and 1,090.02 is: 1,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.96 : 3,018.12 = 1,090.02 : x
  2. Step 2: Convert to fraction form
    2,013.96/3,018.12 = 1,090.02/x
  3. Step 3: Cross multiply
    2,013.96x = 3,018.12 × 1,090.02
  4. Step 4: Simplify right side
    2,013.96x = 3,289,811.16
  5. Step 5: Solve for x
    x = 3,289,811.16/2,013.96
  6. Step 6: Final answer
    x = 1,633.50

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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.