Home / 1,916.38-2,874.88-820.76

Finding the Fourth Proportional to 1,916.38, 2,874.88 and 820.76

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Solution

The fourth proportional to 1,916.38, 2,874.88 and 820.76 is: 1,231.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.38 : 2,874.88 = 820.76 : x
  2. Step 2: Convert to fraction form
    1,916.38/2,874.88 = 820.76/x
  3. Step 3: Cross multiply
    1,916.38x = 2,874.88 × 820.76
  4. Step 4: Simplify right side
    1,916.38x = 2,359,586.51
  5. Step 5: Solve for x
    x = 2,359,586.51/1,916.38
  6. Step 6: Final answer
    x = 1,231.27

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1.5x scale

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.