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Finding the Fourth Proportional to 2,009.12, 2,769.88 and 1,537.28

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Solution

The fourth proportional to 2,009.12, 2,769.88 and 1,537.28 is: 2,119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.12 : 2,769.88 = 1,537.28 : x
  2. Step 2: Convert to fraction form
    2,009.12/2,769.88 = 1,537.28/x
  3. Step 3: Cross multiply
    2,009.12x = 2,769.88 × 1,537.28
  4. Step 4: Simplify right side
    2,009.12x = 4,258,081.13
  5. Step 5: Solve for x
    x = 4,258,081.13/2,009.12
  6. Step 6: Final answer
    x = 2,119.38

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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.