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Finding the Fourth Proportional to 1,426.87, 1,967.25 and 1,191.16

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Solution

The fourth proportional to 1,426.87, 1,967.25 and 1,191.16 is: 1,642.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.87 : 1,967.25 = 1,191.16 : x
  2. Step 2: Convert to fraction form
    1,426.87/1,967.25 = 1,191.16/x
  3. Step 3: Cross multiply
    1,426.87x = 1,967.25 × 1,191.16
  4. Step 4: Simplify right side
    1,426.87x = 2,343,309.51
  5. Step 5: Solve for x
    x = 2,343,309.51/1,426.87
  6. Step 6: Final answer
    x = 1,642.27

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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.