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Finding the Fourth Proportional to 2,219.29, 3,327.64 and 903.67

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Solution

The fourth proportional to 2,219.29, 3,327.64 and 903.67 is: 1,354.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.29 : 3,327.64 = 903.67 : x
  2. Step 2: Convert to fraction form
    2,219.29/3,327.64 = 903.67/x
  3. Step 3: Cross multiply
    2,219.29x = 3,327.64 × 903.67
  4. Step 4: Simplify right side
    2,219.29x = 3,007,088.44
  5. Step 5: Solve for x
    x = 3,007,088.44/2,219.29
  6. Step 6: Final answer
    x = 1,354.98

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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.