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Finding the Fourth Proportional to 2,015.06, 2,780.07 and 1,316.84

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Solution

The fourth proportional to 2,015.06, 2,780.07 and 1,316.84 is: 1,816.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.06 : 2,780.07 = 1,316.84 : x
  2. Step 2: Convert to fraction form
    2,015.06/2,780.07 = 1,316.84/x
  3. Step 3: Cross multiply
    2,015.06x = 2,780.07 × 1,316.84
  4. Step 4: Simplify right side
    2,015.06x = 3,660,907.38
  5. Step 5: Solve for x
    x = 3,660,907.38/2,015.06
  6. Step 6: Final answer
    x = 1,816.77

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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.