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Finding the Fourth Proportional to 1,504.71, 2,251.26 and 1,401.03

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Solution

The fourth proportional to 1,504.71, 2,251.26 and 1,401.03 is: 2,096.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.71 : 2,251.26 = 1,401.03 : x
  2. Step 2: Convert to fraction form
    1,504.71/2,251.26 = 1,401.03/x
  3. Step 3: Cross multiply
    1,504.71x = 2,251.26 × 1,401.03
  4. Step 4: Simplify right side
    1,504.71x = 3,154,082.80
  5. Step 5: Solve for x
    x = 3,154,082.80/1,504.71
  6. Step 6: Final answer
    x = 2,096.14

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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.