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Finding the Fourth Proportional to 2,116.51, 3,174.25 and 883.93

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Solution

The fourth proportional to 2,116.51, 3,174.25 and 883.93 is: 1,325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.51 : 3,174.25 = 883.93 : x
  2. Step 2: Convert to fraction form
    2,116.51/3,174.25 = 883.93/x
  3. Step 3: Cross multiply
    2,116.51x = 3,174.25 × 883.93
  4. Step 4: Simplify right side
    2,116.51x = 2,805,814.80
  5. Step 5: Solve for x
    x = 2,805,814.80/2,116.51
  6. Step 6: Final answer
    x = 1,325.68

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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.