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Finding the Fourth Proportional to 1,162.58, 1,741.64 and 1,123.49

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Solution

The fourth proportional to 1,162.58, 1,741.64 and 1,123.49 is: 1,683.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.58 : 1,741.64 = 1,123.49 : x
  2. Step 2: Convert to fraction form
    1,162.58/1,741.64 = 1,123.49/x
  3. Step 3: Cross multiply
    1,162.58x = 1,741.64 × 1,123.49
  4. Step 4: Simplify right side
    1,162.58x = 1,956,713.86
  5. Step 5: Solve for x
    x = 1,956,713.86/1,162.58
  6. Step 6: Final answer
    x = 1,683.09

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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.