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Finding the Fourth Proportional to 1,191.96, 1,785.99 and 1,146.39

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Solution

The fourth proportional to 1,191.96, 1,785.99 and 1,146.39 is: 1,717.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.96 : 1,785.99 = 1,146.39 : x
  2. Step 2: Convert to fraction form
    1,191.96/1,785.99 = 1,146.39/x
  3. Step 3: Cross multiply
    1,191.96x = 1,785.99 × 1,146.39
  4. Step 4: Simplify right side
    1,191.96x = 2,047,443.47
  5. Step 5: Solve for x
    x = 2,047,443.47/1,191.96
  6. Step 6: Final answer
    x = 1,717.72

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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.