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Finding the Fourth Proportional to 1,186.59, 1,767.73 and 1,173.63

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Solution

The fourth proportional to 1,186.59, 1,767.73 and 1,173.63 is: 1,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.59 : 1,767.73 = 1,173.63 : x
  2. Step 2: Convert to fraction form
    1,186.59/1,767.73 = 1,173.63/x
  3. Step 3: Cross multiply
    1,186.59x = 1,767.73 × 1,173.63
  4. Step 4: Simplify right side
    1,186.59x = 2,074,658.03
  5. Step 5: Solve for x
    x = 2,074,658.03/1,186.59
  6. Step 6: Final answer
    x = 1,748.42

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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.