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Finding the Fourth Proportional to 2,290.77, 3,436.61 and 829.88

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Solution

The fourth proportional to 2,290.77, 3,436.61 and 829.88 is: 1,244.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.77 : 3,436.61 = 829.88 : x
  2. Step 2: Convert to fraction form
    2,290.77/3,436.61 = 829.88/x
  3. Step 3: Cross multiply
    2,290.77x = 3,436.61 × 829.88
  4. Step 4: Simplify right side
    2,290.77x = 2,851,952.57
  5. Step 5: Solve for x
    x = 2,851,952.57/2,290.77
  6. Step 6: Final answer
    x = 1,244.98

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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.