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Finding the Fourth Proportional to 1,943.40, 2,913.50 and 772.90

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Solution

The fourth proportional to 1,943.40, 2,913.50 and 772.90 is: 1,158.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.40 : 2,913.50 = 772.90 : x
  2. Step 2: Convert to fraction form
    1,943.40/2,913.50 = 772.90/x
  3. Step 3: Cross multiply
    1,943.40x = 2,913.50 × 772.90
  4. Step 4: Simplify right side
    1,943.40x = 2,251,825.72
  5. Step 5: Solve for x
    x = 2,251,825.72/1,943.40
  6. Step 6: Final answer
    x = 1,158.71

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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.