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Finding the Fourth Proportional to 1,736.64, 2,391.12 and 1,474.08

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Solution

The fourth proportional to 1,736.64, 2,391.12 and 1,474.08 is: 2,029.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.64 : 2,391.12 = 1,474.08 : x
  2. Step 2: Convert to fraction form
    1,736.64/2,391.12 = 1,474.08/x
  3. Step 3: Cross multiply
    1,736.64x = 2,391.12 × 1,474.08
  4. Step 4: Simplify right side
    1,736.64x = 3,524,702.17
  5. Step 5: Solve for x
    x = 3,524,702.17/1,736.64
  6. Step 6: Final answer
    x = 2,029.61

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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.