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Finding the Fourth Proportional to 1,969.74, 2,717.70 and 1,184.04

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Solution

The fourth proportional to 1,969.74, 2,717.70 and 1,184.04 is: 1,633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.74 : 2,717.70 = 1,184.04 : x
  2. Step 2: Convert to fraction form
    1,969.74/2,717.70 = 1,184.04/x
  3. Step 3: Cross multiply
    1,969.74x = 2,717.70 × 1,184.04
  4. Step 4: Simplify right side
    1,969.74x = 3,217,865.51
  5. Step 5: Solve for x
    x = 3,217,865.51/1,969.74
  6. Step 6: Final answer
    x = 1,633.65

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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.