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Finding the Fourth Proportional to 1,381.83, 1,907.34 and 1,101.96

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Solution

The fourth proportional to 1,381.83, 1,907.34 and 1,101.96 is: 1,521.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.83 : 1,907.34 = 1,101.96 : x
  2. Step 2: Convert to fraction form
    1,381.83/1,907.34 = 1,101.96/x
  3. Step 3: Cross multiply
    1,381.83x = 1,907.34 × 1,101.96
  4. Step 4: Simplify right side
    1,381.83x = 2,101,812.39
  5. Step 5: Solve for x
    x = 2,101,812.39/1,381.83
  6. Step 6: Final answer
    x = 1,521.04

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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.