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Finding the Fourth Proportional to 1,191.86, 1,654.67 and 1,156.22

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Solution

The fourth proportional to 1,191.86, 1,654.67 and 1,156.22 is: 1,605.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.86 : 1,654.67 = 1,156.22 : x
  2. Step 2: Convert to fraction form
    1,191.86/1,654.67 = 1,156.22/x
  3. Step 3: Cross multiply
    1,191.86x = 1,654.67 × 1,156.22
  4. Step 4: Simplify right side
    1,191.86x = 1,913,162.55
  5. Step 5: Solve for x
    x = 1,913,162.55/1,191.86
  6. Step 6: Final answer
    x = 1,605.19

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.