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Finding the Fourth Proportional to 3,211.63, 4,817.44 and 903.13

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Solution

The fourth proportional to 3,211.63, 4,817.44 and 903.13 is: 1,354.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.63 : 4,817.44 = 903.13 : x
  2. Step 2: Convert to fraction form
    3,211.63/4,817.44 = 903.13/x
  3. Step 3: Cross multiply
    3,211.63x = 4,817.44 × 903.13
  4. Step 4: Simplify right side
    3,211.63x = 4,350,748.24
  5. Step 5: Solve for x
    x = 4,350,748.24/3,211.63
  6. Step 6: Final answer
    x = 1,354.69

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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.