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Finding the Fourth Proportional to 2,116.29, 3,175.35 and 883.98

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Solution

The fourth proportional to 2,116.29, 3,175.35 and 883.98 is: 1,326.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.29 : 3,175.35 = 883.98 : x
  2. Step 2: Convert to fraction form
    2,116.29/3,175.35 = 883.98/x
  3. Step 3: Cross multiply
    2,116.29x = 3,175.35 × 883.98
  4. Step 4: Simplify right side
    2,116.29x = 2,806,942.58
  5. Step 5: Solve for x
    x = 2,806,942.58/2,116.29
  6. Step 6: Final answer
    x = 1,326.35

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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.