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Finding the Fourth Proportional to 1,973.12, 2,722.83 and 1,274.50

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Solution

The fourth proportional to 1,973.12, 2,722.83 and 1,274.50 is: 1,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.12 : 2,722.83 = 1,274.50 : x
  2. Step 2: Convert to fraction form
    1,973.12/2,722.83 = 1,274.50/x
  3. Step 3: Cross multiply
    1,973.12x = 2,722.83 × 1,274.50
  4. Step 4: Simplify right side
    1,973.12x = 3,470,233.22
  5. Step 5: Solve for x
    x = 3,470,233.22/1,973.12
  6. Step 6: Final answer
    x = 1,758.75

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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.