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Finding the Fourth Proportional to 2,265.74, 3,390.80 and 1,387.67

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Solution

The fourth proportional to 2,265.74, 3,390.80 and 1,387.67 is: 2,076.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.74 : 3,390.80 = 1,387.67 : x
  2. Step 2: Convert to fraction form
    2,265.74/3,390.80 = 1,387.67/x
  3. Step 3: Cross multiply
    2,265.74x = 3,390.80 × 1,387.67
  4. Step 4: Simplify right side
    2,265.74x = 4,705,287.54
  5. Step 5: Solve for x
    x = 4,705,287.54/2,265.74
  6. Step 6: Final answer
    x = 2,076.71

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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.