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Finding the Fourth Proportional to 1,958.59, 2,702.96 and 1,074.34

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Solution

The fourth proportional to 1,958.59, 2,702.96 and 1,074.34 is: 1,482.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.59 : 2,702.96 = 1,074.34 : x
  2. Step 2: Convert to fraction form
    1,958.59/2,702.96 = 1,074.34/x
  3. Step 3: Cross multiply
    1,958.59x = 2,702.96 × 1,074.34
  4. Step 4: Simplify right side
    1,958.59x = 2,903,898.05
  5. Step 5: Solve for x
    x = 2,903,898.05/1,958.59
  6. Step 6: Final answer
    x = 1,482.65

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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.