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Finding the Fourth Proportional to 2,274.59, 3,138.14 and 1,330.25

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Solution

The fourth proportional to 2,274.59, 3,138.14 and 1,330.25 is: 1,835.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.59 : 3,138.14 = 1,330.25 : x
  2. Step 2: Convert to fraction form
    2,274.59/3,138.14 = 1,330.25/x
  3. Step 3: Cross multiply
    2,274.59x = 3,138.14 × 1,330.25
  4. Step 4: Simplify right side
    2,274.59x = 4,174,488.39
  5. Step 5: Solve for x
    x = 4,174,488.39/2,274.59
  6. Step 6: Final answer
    x = 1,835.27

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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.