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Finding the Fourth Proportional to 1,916.71, 2,873.53 and 820.23

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Solution

The fourth proportional to 1,916.71, 2,873.53 and 820.23 is: 1,229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.71 : 2,873.53 = 820.23 : x
  2. Step 2: Convert to fraction form
    1,916.71/2,873.53 = 820.23/x
  3. Step 3: Cross multiply
    1,916.71x = 2,873.53 × 820.23
  4. Step 4: Simplify right side
    1,916.71x = 2,356,941.15
  5. Step 5: Solve for x
    x = 2,356,941.15/1,916.71
  6. Step 6: Final answer
    x = 1,229.68

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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.