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Finding the Fourth Proportional to 3,218.96, 4,829.16 and 1,082

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Solution

The fourth proportional to 3,218.96, 4,829.16 and 1,082 is: 1,623.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.96 : 4,829.16 = 1,082 : x
  2. Step 2: Convert to fraction form
    3,218.96/4,829.16 = 1,082/x
  3. Step 3: Cross multiply
    3,218.96x = 4,829.16 × 1,082
  4. Step 4: Simplify right side
    3,218.96x = 5,225,151.12
  5. Step 5: Solve for x
    x = 5,225,151.12/3,218.96
  6. Step 6: Final answer
    x = 1,623.24

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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.