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Finding the Fourth Proportional to 1,384.09, 1,911.54 and 943.18

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Solution

The fourth proportional to 1,384.09, 1,911.54 and 943.18 is: 1,302.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.09 : 1,911.54 = 943.18 : x
  2. Step 2: Convert to fraction form
    1,384.09/1,911.54 = 943.18/x
  3. Step 3: Cross multiply
    1,384.09x = 1,911.54 × 943.18
  4. Step 4: Simplify right side
    1,384.09x = 1,802,926.30
  5. Step 5: Solve for x
    x = 1,802,926.30/1,384.09
  6. Step 6: Final answer
    x = 1,302.61

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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.