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Finding the Fourth Proportional to 1,166.86, 1,597.65 and 1,162.76

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Solution

The fourth proportional to 1,166.86, 1,597.65 and 1,162.76 is: 1,592.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.86 : 1,597.65 = 1,162.76 : x
  2. Step 2: Convert to fraction form
    1,166.86/1,597.65 = 1,162.76/x
  3. Step 3: Cross multiply
    1,166.86x = 1,597.65 × 1,162.76
  4. Step 4: Simplify right side
    1,166.86x = 1,857,674.44
  5. Step 5: Solve for x
    x = 1,857,674.44/1,166.86
  6. Step 6: Final answer
    x = 1,592.03

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.