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Finding the Fourth Proportional to 1,958.40, 2,700.26 and 1,584.20

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Solution

The fourth proportional to 1,958.40, 2,700.26 and 1,584.20 is: 2,184.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.40 : 2,700.26 = 1,584.20 : x
  2. Step 2: Convert to fraction form
    1,958.40/2,700.26 = 1,584.20/x
  3. Step 3: Cross multiply
    1,958.40x = 2,700.26 × 1,584.20
  4. Step 4: Simplify right side
    1,958.40x = 4,277,751.89
  5. Step 5: Solve for x
    x = 4,277,751.89/1,958.40
  6. Step 6: Final answer
    x = 2,184.31

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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.