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Finding the Fourth Proportional to 2,090.96, 2,885.02 and 1,206.77

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Solution

The fourth proportional to 2,090.96, 2,885.02 and 1,206.77 is: 1,665.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.96 : 2,885.02 = 1,206.77 : x
  2. Step 2: Convert to fraction form
    2,090.96/2,885.02 = 1,206.77/x
  3. Step 3: Cross multiply
    2,090.96x = 2,885.02 × 1,206.77
  4. Step 4: Simplify right side
    2,090.96x = 3,481,538.14
  5. Step 5: Solve for x
    x = 3,481,538.14/2,090.96
  6. Step 6: Final answer
    x = 1,665.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.