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Finding the Fourth Proportional to 2,369.70, 3,549.42 and 1,719

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Solution

The fourth proportional to 2,369.70, 3,549.42 and 1,719 is: 2,574.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.70 : 3,549.42 = 1,719 : x
  2. Step 2: Convert to fraction form
    2,369.70/3,549.42 = 1,719/x
  3. Step 3: Cross multiply
    2,369.70x = 3,549.42 × 1,719
  4. Step 4: Simplify right side
    2,369.70x = 6,101,452.98
  5. Step 5: Solve for x
    x = 6,101,452.98/2,369.70
  6. Step 6: Final answer
    x = 2,574.78

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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.