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Finding the Fourth Proportional to 2,278.94, 3,417.26 and 891.23

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Solution

The fourth proportional to 2,278.94, 3,417.26 and 891.23 is: 1,336.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.94 : 3,417.26 = 891.23 : x
  2. Step 2: Convert to fraction form
    2,278.94/3,417.26 = 891.23/x
  3. Step 3: Cross multiply
    2,278.94x = 3,417.26 × 891.23
  4. Step 4: Simplify right side
    2,278.94x = 3,045,543.09
  5. Step 5: Solve for x
    x = 3,045,543.09/2,278.94
  6. Step 6: Final answer
    x = 1,336.39

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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.