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Finding the Fourth Proportional to 2,113.23, 2,916.14 and 1,274.21

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Solution

The fourth proportional to 2,113.23, 2,916.14 and 1,274.21 is: 1,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.23 : 2,916.14 = 1,274.21 : x
  2. Step 2: Convert to fraction form
    2,113.23/2,916.14 = 1,274.21/x
  3. Step 3: Cross multiply
    2,113.23x = 2,916.14 × 1,274.21
  4. Step 4: Simplify right side
    2,113.23x = 3,715,764.73
  5. Step 5: Solve for x
    x = 3,715,764.73/2,113.23
  6. Step 6: Final answer
    x = 1,758.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.