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Finding the Fourth Proportional to 2,015.01, 2,780.64 and 1,269.36

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Solution

The fourth proportional to 2,015.01, 2,780.64 and 1,269.36 is: 1,751.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.01 : 2,780.64 = 1,269.36 : x
  2. Step 2: Convert to fraction form
    2,015.01/2,780.64 = 1,269.36/x
  3. Step 3: Cross multiply
    2,015.01x = 2,780.64 × 1,269.36
  4. Step 4: Simplify right side
    2,015.01x = 3,529,633.19
  5. Step 5: Solve for x
    x = 3,529,633.19/2,015.01
  6. Step 6: Final answer
    x = 1,751.67

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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.