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Finding the Fourth Proportional to 2,262.05, 3,390.23 and 1,288.70

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Solution

The fourth proportional to 2,262.05, 3,390.23 and 1,288.70 is: 1,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.05 : 3,390.23 = 1,288.70 : x
  2. Step 2: Convert to fraction form
    2,262.05/3,390.23 = 1,288.70/x
  3. Step 3: Cross multiply
    2,262.05x = 3,390.23 × 1,288.70
  4. Step 4: Simplify right side
    2,262.05x = 4,368,975.67
  5. Step 5: Solve for x
    x = 4,368,975.67/2,262.05
  6. Step 6: Final answer
    x = 1,931.43

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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.