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Finding the Fourth Proportional to 2,114.70, 2,916.57 and 1,329

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Solution

The fourth proportional to 2,114.70, 2,916.57 and 1,329 is: 1,832.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.70 : 2,916.57 = 1,329 : x
  2. Step 2: Convert to fraction form
    2,114.70/2,916.57 = 1,329/x
  3. Step 3: Cross multiply
    2,114.70x = 2,916.57 × 1,329
  4. Step 4: Simplify right side
    2,114.70x = 3,876,121.53
  5. Step 5: Solve for x
    x = 3,876,121.53/2,114.70
  6. Step 6: Final answer
    x = 1,832.94

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Why These Related Problems?

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