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Finding the Fourth Proportional to 2,274.35, 3,138.59 and 1,266.07

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Solution

The fourth proportional to 2,274.35, 3,138.59 and 1,266.07 is: 1,747.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.35 : 3,138.59 = 1,266.07 : x
  2. Step 2: Convert to fraction form
    2,274.35/3,138.59 = 1,266.07/x
  3. Step 3: Cross multiply
    2,274.35x = 3,138.59 × 1,266.07
  4. Step 4: Simplify right side
    2,274.35x = 3,973,674.64
  5. Step 5: Solve for x
    x = 3,973,674.64/2,274.35
  6. Step 6: Final answer
    x = 1,747.17

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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.