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Finding the Fourth Proportional to 1,916.07, 2,873.50 and 820.14

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Solution

The fourth proportional to 1,916.07, 2,873.50 and 820.14 is: 1,229.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.07 : 2,873.50 = 820.14 : x
  2. Step 2: Convert to fraction form
    1,916.07/2,873.50 = 820.14/x
  3. Step 3: Cross multiply
    1,916.07x = 2,873.50 × 820.14
  4. Step 4: Simplify right side
    1,916.07x = 2,356,670.24
  5. Step 5: Solve for x
    x = 2,356,670.24/1,916.07
  6. Step 6: Final answer
    x = 1,229.95

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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.