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Finding the Fourth Proportional to 2,174.64, 3,247.86 and 1,883.04

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Solution

The fourth proportional to 2,174.64, 3,247.86 and 1,883.04 is: 2,812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.64 : 3,247.86 = 1,883.04 : x
  2. Step 2: Convert to fraction form
    2,174.64/3,247.86 = 1,883.04/x
  3. Step 3: Cross multiply
    2,174.64x = 3,247.86 × 1,883.04
  4. Step 4: Simplify right side
    2,174.64x = 6,115,850.29
  5. Step 5: Solve for x
    x = 6,115,850.29/2,174.64
  6. Step 6: Final answer
    x = 2,812.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.