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Finding the Fourth Proportional to 2,015.78, 2,782.23 and 1,316.75

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Solution

The fourth proportional to 2,015.78, 2,782.23 and 1,316.75 is: 1,817.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.78 : 2,782.23 = 1,316.75 : x
  2. Step 2: Convert to fraction form
    2,015.78/2,782.23 = 1,316.75/x
  3. Step 3: Cross multiply
    2,015.78x = 2,782.23 × 1,316.75
  4. Step 4: Simplify right side
    2,015.78x = 3,663,501.35
  5. Step 5: Solve for x
    x = 3,663,501.35/2,015.78
  6. Step 6: Final answer
    x = 1,817.41

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