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Finding the Fourth Proportional to 2,114.94, 2,916.41 and 1,485.27

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Solution

The fourth proportional to 2,114.94, 2,916.41 and 1,485.27 is: 2,048.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.94 : 2,916.41 = 1,485.27 : x
  2. Step 2: Convert to fraction form
    2,114.94/2,916.41 = 1,485.27/x
  3. Step 3: Cross multiply
    2,114.94x = 2,916.41 × 1,485.27
  4. Step 4: Simplify right side
    2,114.94x = 4,331,648.85
  5. Step 5: Solve for x
    x = 4,331,648.85/2,114.94
  6. Step 6: Final answer
    x = 2,048.12

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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.