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Finding the Fourth Proportional to 2,036.56, 2,802.72 and 1,949.08

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Solution

The fourth proportional to 2,036.56, 2,802.72 and 1,949.08 is: 2,682.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.56 : 2,802.72 = 1,949.08 : x
  2. Step 2: Convert to fraction form
    2,036.56/2,802.72 = 1,949.08/x
  3. Step 3: Cross multiply
    2,036.56x = 2,802.72 × 1,949.08
  4. Step 4: Simplify right side
    2,036.56x = 5,462,725.50
  5. Step 5: Solve for x
    x = 5,462,725.50/2,036.56
  6. Step 6: Final answer
    x = 2,682.33

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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.