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Finding the Fourth Proportional to 1,384.04, 1,906.10 and 1,149.02

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Solution

The fourth proportional to 1,384.04, 1,906.10 and 1,149.02 is: 1,582.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.04 : 1,906.10 = 1,149.02 : x
  2. Step 2: Convert to fraction form
    1,384.04/1,906.10 = 1,149.02/x
  3. Step 3: Cross multiply
    1,384.04x = 1,906.10 × 1,149.02
  4. Step 4: Simplify right side
    1,384.04x = 2,190,147.02
  5. Step 5: Solve for x
    x = 2,190,147.02/1,384.04
  6. Step 6: Final answer
    x = 1,582.43

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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.