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Finding the Fourth Proportional to 2,290.86, 3,436.29 and 829.98

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Solution

The fourth proportional to 2,290.86, 3,436.29 and 829.98 is: 1,244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.86 : 3,436.29 = 829.98 : x
  2. Step 2: Convert to fraction form
    2,290.86/3,436.29 = 829.98/x
  3. Step 3: Cross multiply
    2,290.86x = 3,436.29 × 829.98
  4. Step 4: Simplify right side
    2,290.86x = 2,852,051.97
  5. Step 5: Solve for x
    x = 2,852,051.97/2,290.86
  6. Step 6: Final answer
    x = 1,244.97

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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.