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Finding the Fourth Proportional to 2,716.17, 3,751.83 and 2,009.46

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Solution

The fourth proportional to 2,716.17, 3,751.83 and 2,009.46 is: 2,775.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.17 : 3,751.83 = 2,009.46 : x
  2. Step 2: Convert to fraction form
    2,716.17/3,751.83 = 2,009.46/x
  3. Step 3: Cross multiply
    2,716.17x = 3,751.83 × 2,009.46
  4. Step 4: Simplify right side
    2,716.17x = 7,539,152.31
  5. Step 5: Solve for x
    x = 7,539,152.31/2,716.17
  6. Step 6: Final answer
    x = 2,775.66

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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.