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Finding the Fourth Proportional to 3,145.68, 4,711.34 and 1,503.38

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Solution

The fourth proportional to 3,145.68, 4,711.34 and 1,503.38 is: 2,251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.68 : 4,711.34 = 1,503.38 : x
  2. Step 2: Convert to fraction form
    3,145.68/4,711.34 = 1,503.38/x
  3. Step 3: Cross multiply
    3,145.68x = 4,711.34 × 1,503.38
  4. Step 4: Simplify right side
    3,145.68x = 7,082,903.26
  5. Step 5: Solve for x
    x = 7,082,903.26/3,145.68
  6. Step 6: Final answer
    x = 2,251.63

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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.