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Finding the Fourth Proportional to 1,384.44, 1,910.84 and 943.40

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Solution

The fourth proportional to 1,384.44, 1,910.84 and 943.40 is: 1,302.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.44 : 1,910.84 = 943.40 : x
  2. Step 2: Convert to fraction form
    1,384.44/1,910.84 = 943.40/x
  3. Step 3: Cross multiply
    1,384.44x = 1,910.84 × 943.40
  4. Step 4: Simplify right side
    1,384.44x = 1,802,686.46
  5. Step 5: Solve for x
    x = 1,802,686.46/1,384.44
  6. Step 6: Final answer
    x = 1,302.11

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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.