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Finding the Fourth Proportional to 1,898.74, 2,846.59 and 1,274.69

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Solution

The fourth proportional to 1,898.74, 2,846.59 and 1,274.69 is: 1,911.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.74 : 2,846.59 = 1,274.69 : x
  2. Step 2: Convert to fraction form
    1,898.74/2,846.59 = 1,274.69/x
  3. Step 3: Cross multiply
    1,898.74x = 2,846.59 × 1,274.69
  4. Step 4: Simplify right side
    1,898.74x = 3,628,519.81
  5. Step 5: Solve for x
    x = 3,628,519.81/1,898.74
  6. Step 6: Final answer
    x = 1,911.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.