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Finding the Fourth Proportional to 2,882.43, 4,317.17 and 1,783.67

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Solution

The fourth proportional to 2,882.43, 4,317.17 and 1,783.67 is: 2,671.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.43 : 4,317.17 = 1,783.67 : x
  2. Step 2: Convert to fraction form
    2,882.43/4,317.17 = 1,783.67/x
  3. Step 3: Cross multiply
    2,882.43x = 4,317.17 × 1,783.67
  4. Step 4: Simplify right side
    2,882.43x = 7,700,376.11
  5. Step 5: Solve for x
    x = 7,700,376.11/2,882.43
  6. Step 6: Final answer
    x = 2,671.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.