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Finding the Fourth Proportional to 2,882.76, 4,317.20 and 1,646.42

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Solution

The fourth proportional to 2,882.76, 4,317.20 and 1,646.42 is: 2,465.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.76 : 4,317.20 = 1,646.42 : x
  2. Step 2: Convert to fraction form
    2,882.76/4,317.20 = 1,646.42/x
  3. Step 3: Cross multiply
    2,882.76x = 4,317.20 × 1,646.42
  4. Step 4: Simplify right side
    2,882.76x = 7,107,939.33
  5. Step 5: Solve for x
    x = 7,107,939.33/2,882.76
  6. Step 6: Final answer
    x = 2,465.67

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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.