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Finding the Fourth Proportional to 2,654.33, 3,980.03 and 1,268.01

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Solution

The fourth proportional to 2,654.33, 3,980.03 and 1,268.01 is: 1,901.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.33 : 3,980.03 = 1,268.01 : x
  2. Step 2: Convert to fraction form
    2,654.33/3,980.03 = 1,268.01/x
  3. Step 3: Cross multiply
    2,654.33x = 3,980.03 × 1,268.01
  4. Step 4: Simplify right side
    2,654.33x = 5,046,711.50
  5. Step 5: Solve for x
    x = 5,046,711.50/2,654.33
  6. Step 6: Final answer
    x = 1,901.32

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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.