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Finding the Fourth Proportional to 1,462.36, 2,194.14 and 596.76

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Solution

The fourth proportional to 1,462.36, 2,194.14 and 596.76 is: 895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.36 : 2,194.14 = 596.76 : x
  2. Step 2: Convert to fraction form
    1,462.36/2,194.14 = 596.76/x
  3. Step 3: Cross multiply
    1,462.36x = 2,194.14 × 596.76
  4. Step 4: Simplify right side
    1,462.36x = 1,309,374.99
  5. Step 5: Solve for x
    x = 1,309,374.99/1,462.36
  6. Step 6: Final answer
    x = 895.38

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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.