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Finding the Fourth Proportional to 3,296.09, 4,548.50 and 1,969.01

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Solution

The fourth proportional to 3,296.09, 4,548.50 and 1,969.01 is: 2,717.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.09 : 4,548.50 = 1,969.01 : x
  2. Step 2: Convert to fraction form
    3,296.09/4,548.50 = 1,969.01/x
  3. Step 3: Cross multiply
    3,296.09x = 4,548.50 × 1,969.01
  4. Step 4: Simplify right side
    3,296.09x = 8,956,009.40
  5. Step 5: Solve for x
    x = 8,956,009.40/3,296.09
  6. Step 6: Final answer
    x = 2,717.16

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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.