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Finding the Fourth Proportional to 2,381.37, 3,572.69 and 900.62

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Solution

The fourth proportional to 2,381.37, 3,572.69 and 900.62 is: 1,351.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.37 : 3,572.69 = 900.62 : x
  2. Step 2: Convert to fraction form
    2,381.37/3,572.69 = 900.62/x
  3. Step 3: Cross multiply
    2,381.37x = 3,572.69 × 900.62
  4. Step 4: Simplify right side
    2,381.37x = 3,217,636.07
  5. Step 5: Solve for x
    x = 3,217,636.07/2,381.37
  6. Step 6: Final answer
    x = 1,351.17

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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.