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Finding the Fourth Proportional to 1,916.51, 2,876.13 and 821.19

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Solution

The fourth proportional to 1,916.51, 2,876.13 and 821.19 is: 1,232.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.51 : 2,876.13 = 821.19 : x
  2. Step 2: Convert to fraction form
    1,916.51/2,876.13 = 821.19/x
  3. Step 3: Cross multiply
    1,916.51x = 2,876.13 × 821.19
  4. Step 4: Simplify right side
    1,916.51x = 2,361,846.11
  5. Step 5: Solve for x
    x = 2,361,846.11/1,916.51
  6. Step 6: Final answer
    x = 1,232.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.