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Finding the Fourth Proportional to 2,202, 3,038.88 and 1,317.84

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Solution

The fourth proportional to 2,202, 3,038.88 and 1,317.84 is: 1,818.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202 : 3,038.88 = 1,317.84 : x
  2. Step 2: Convert to fraction form
    2,202/3,038.88 = 1,317.84/x
  3. Step 3: Cross multiply
    2,202x = 3,038.88 × 1,317.84
  4. Step 4: Simplify right side
    2,202x = 4,004,757.62
  5. Step 5: Solve for x
    x = 4,004,757.62/2,202
  6. Step 6: Final answer
    x = 1,818.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.