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Finding the Fourth Proportional to 2,355.66, 3,251.28 and 1,361.16

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Solution

The fourth proportional to 2,355.66, 3,251.28 and 1,361.16 is: 1,878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.66 : 3,251.28 = 1,361.16 : x
  2. Step 2: Convert to fraction form
    2,355.66/3,251.28 = 1,361.16/x
  3. Step 3: Cross multiply
    2,355.66x = 3,251.28 × 1,361.16
  4. Step 4: Simplify right side
    2,355.66x = 4,425,512.28
  5. Step 5: Solve for x
    x = 4,425,512.28/2,355.66
  6. Step 6: Final answer
    x = 1,878.67

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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.