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Finding the Fourth Proportional to 2,116.48, 3,175.23 and 883.20

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Solution

The fourth proportional to 2,116.48, 3,175.23 and 883.20 is: 1,325.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.48 : 3,175.23 = 883.20 : x
  2. Step 2: Convert to fraction form
    2,116.48/3,175.23 = 883.20/x
  3. Step 3: Cross multiply
    2,116.48x = 3,175.23 × 883.20
  4. Step 4: Simplify right side
    2,116.48x = 2,804,366.66
  5. Step 5: Solve for x
    x = 2,804,366.66/2,116.48
  6. Step 6: Final answer
    x = 1,325.02

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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.