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Finding the Fourth Proportional to 1,185.93, 1,770.33 and 1,132.67

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Solution

The fourth proportional to 1,185.93, 1,770.33 and 1,132.67 is: 1,690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.93 : 1,770.33 = 1,132.67 : x
  2. Step 2: Convert to fraction form
    1,185.93/1,770.33 = 1,132.67/x
  3. Step 3: Cross multiply
    1,185.93x = 1,770.33 × 1,132.67
  4. Step 4: Simplify right side
    1,185.93x = 2,005,199.68
  5. Step 5: Solve for x
    x = 2,005,199.68/1,185.93
  6. Step 6: Final answer
    x = 1,690.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.