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Finding the Fourth Proportional to 1,958.63, 2,702.89 and 1,074.45

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Solution

The fourth proportional to 1,958.63, 2,702.89 and 1,074.45 is: 1,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.63 : 2,702.89 = 1,074.45 : x
  2. Step 2: Convert to fraction form
    1,958.63/2,702.89 = 1,074.45/x
  3. Step 3: Cross multiply
    1,958.63x = 2,702.89 × 1,074.45
  4. Step 4: Simplify right side
    1,958.63x = 2,904,120.16
  5. Step 5: Solve for x
    x = 2,904,120.16/1,958.63
  6. Step 6: Final answer
    x = 1,482.73

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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.