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Finding the Fourth Proportional to 1,292.66, 1,938.30 and 1,191.51

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Solution

The fourth proportional to 1,292.66, 1,938.30 and 1,191.51 is: 1,786.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.66 : 1,938.30 = 1,191.51 : x
  2. Step 2: Convert to fraction form
    1,292.66/1,938.30 = 1,191.51/x
  3. Step 3: Cross multiply
    1,292.66x = 1,938.30 × 1,191.51
  4. Step 4: Simplify right side
    1,292.66x = 2,309,509.42
  5. Step 5: Solve for x
    x = 2,309,509.42/1,292.66
  6. Step 6: Final answer
    x = 1,786.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.