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Finding the Fourth Proportional to 2,943.48, 4,415.70 and 891

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Solution

The fourth proportional to 2,943.48, 4,415.70 and 891 is: 1,336.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.48 : 4,415.70 = 891 : x
  2. Step 2: Convert to fraction form
    2,943.48/4,415.70 = 891/x
  3. Step 3: Cross multiply
    2,943.48x = 4,415.70 × 891
  4. Step 4: Simplify right side
    2,943.48x = 3,934,388.70
  5. Step 5: Solve for x
    x = 3,934,388.70/2,943.48
  6. Step 6: Final answer
    x = 1,336.65

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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.