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Finding the Fourth Proportional to 1,382.16, 1,905.48 and 1,103.34

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Solution

The fourth proportional to 1,382.16, 1,905.48 and 1,103.34 is: 1,521.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.16 : 1,905.48 = 1,103.34 : x
  2. Step 2: Convert to fraction form
    1,382.16/1,905.48 = 1,103.34/x
  3. Step 3: Cross multiply
    1,382.16x = 1,905.48 × 1,103.34
  4. Step 4: Simplify right side
    1,382.16x = 2,102,392.30
  5. Step 5: Solve for x
    x = 2,102,392.30/1,382.16
  6. Step 6: Final answer
    x = 1,521.09

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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.