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Finding the Fourth Proportional to 2,114.25, 2,916.99 and 1,368.78

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Solution

The fourth proportional to 2,114.25, 2,916.99 and 1,368.78 is: 1,888.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.25 : 2,916.99 = 1,368.78 : x
  2. Step 2: Convert to fraction form
    2,114.25/2,916.99 = 1,368.78/x
  3. Step 3: Cross multiply
    2,114.25x = 2,916.99 × 1,368.78
  4. Step 4: Simplify right side
    2,114.25x = 3,992,717.57
  5. Step 5: Solve for x
    x = 3,992,717.57/2,114.25
  6. Step 6: Final answer
    x = 1,888.48

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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.