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Finding the Fourth Proportional to 1,691.94, 2,332.35 and 1,131.42

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Solution

The fourth proportional to 1,691.94, 2,332.35 and 1,131.42 is: 1,559.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.94 : 2,332.35 = 1,131.42 : x
  2. Step 2: Convert to fraction form
    1,691.94/2,332.35 = 1,131.42/x
  3. Step 3: Cross multiply
    1,691.94x = 2,332.35 × 1,131.42
  4. Step 4: Simplify right side
    1,691.94x = 2,638,867.44
  5. Step 5: Solve for x
    x = 2,638,867.44/1,691.94
  6. Step 6: Final answer
    x = 1,559.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.