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Finding the Fourth Proportional to 1,384.17, 2,074.35 and 920.73

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Solution

The fourth proportional to 1,384.17, 2,074.35 and 920.73 is: 1,379.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.17 : 2,074.35 = 920.73 : x
  2. Step 2: Convert to fraction form
    1,384.17/2,074.35 = 920.73/x
  3. Step 3: Cross multiply
    1,384.17x = 2,074.35 × 920.73
  4. Step 4: Simplify right side
    1,384.17x = 1,909,916.28
  5. Step 5: Solve for x
    x = 1,909,916.28/1,384.17
  6. Step 6: Final answer
    x = 1,379.83

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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.