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Finding the Fourth Proportional to 2,274.63, 3,412.49 and 2,259.15

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Solution

The fourth proportional to 2,274.63, 3,412.49 and 2,259.15 is: 3,389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.63 : 3,412.49 = 2,259.15 : x
  2. Step 2: Convert to fraction form
    2,274.63/3,412.49 = 2,259.15/x
  3. Step 3: Cross multiply
    2,274.63x = 3,412.49 × 2,259.15
  4. Step 4: Simplify right side
    2,274.63x = 7,709,315.49
  5. Step 5: Solve for x
    x = 7,709,315.49/2,274.63
  6. Step 6: Final answer
    x = 3,389.26

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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.