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Finding the Fourth Proportional to 3,196.40, 4,792.12 and 1,464.56

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Solution

The fourth proportional to 3,196.40, 4,792.12 and 1,464.56 is: 2,195.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.40 : 4,792.12 = 1,464.56 : x
  2. Step 2: Convert to fraction form
    3,196.40/4,792.12 = 1,464.56/x
  3. Step 3: Cross multiply
    3,196.40x = 4,792.12 × 1,464.56
  4. Step 4: Simplify right side
    3,196.40x = 7,018,347.27
  5. Step 5: Solve for x
    x = 7,018,347.27/3,196.40
  6. Step 6: Final answer
    x = 2,195.70

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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.