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Finding the Fourth Proportional to 2,150.94, 2,967.76 and 1,364.70

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Solution

The fourth proportional to 2,150.94, 2,967.76 and 1,364.70 is: 1,882.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.94 : 2,967.76 = 1,364.70 : x
  2. Step 2: Convert to fraction form
    2,150.94/2,967.76 = 1,364.70/x
  3. Step 3: Cross multiply
    2,150.94x = 2,967.76 × 1,364.70
  4. Step 4: Simplify right side
    2,150.94x = 4,050,102.07
  5. Step 5: Solve for x
    x = 4,050,102.07/2,150.94
  6. Step 6: Final answer
    x = 1,882.95

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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.