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Finding the Fourth Proportional to 1,384.17, 1,910.16 and 794.73

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Solution

The fourth proportional to 1,384.17, 1,910.16 and 794.73 is: 1,096.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.17 : 1,910.16 = 794.73 : x
  2. Step 2: Convert to fraction form
    1,384.17/1,910.16 = 794.73/x
  3. Step 3: Cross multiply
    1,384.17x = 1,910.16 × 794.73
  4. Step 4: Simplify right side
    1,384.17x = 1,518,061.46
  5. Step 5: Solve for x
    x = 1,518,061.46/1,384.17
  6. Step 6: Final answer
    x = 1,096.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.