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Finding the Fourth Proportional to 2,496.36, 3,744.54 and 1,569.12

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Solution

The fourth proportional to 2,496.36, 3,744.54 and 1,569.12 is: 2,353.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.36 : 3,744.54 = 1,569.12 : x
  2. Step 2: Convert to fraction form
    2,496.36/3,744.54 = 1,569.12/x
  3. Step 3: Cross multiply
    2,496.36x = 3,744.54 × 1,569.12
  4. Step 4: Simplify right side
    2,496.36x = 5,875,618.56
  5. Step 5: Solve for x
    x = 5,875,618.56/2,496.36
  6. Step 6: Final answer
    x = 2,353.67

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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.