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Finding the Fourth Proportional to 2,381.35, 3,286.09 and 1,319.01

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Solution

The fourth proportional to 2,381.35, 3,286.09 and 1,319.01 is: 1,820.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.35 : 3,286.09 = 1,319.01 : x
  2. Step 2: Convert to fraction form
    2,381.35/3,286.09 = 1,319.01/x
  3. Step 3: Cross multiply
    2,381.35x = 3,286.09 × 1,319.01
  4. Step 4: Simplify right side
    2,381.35x = 4,334,385.57
  5. Step 5: Solve for x
    x = 4,334,385.57/2,381.35
  6. Step 6: Final answer
    x = 1,820.14

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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.