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Finding the Fourth Proportional to 2,580.21, 3,868.58 and 936.54

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Solution

The fourth proportional to 2,580.21, 3,868.58 and 936.54 is: 1,404.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.21 : 3,868.58 = 936.54 : x
  2. Step 2: Convert to fraction form
    2,580.21/3,868.58 = 936.54/x
  3. Step 3: Cross multiply
    2,580.21x = 3,868.58 × 936.54
  4. Step 4: Simplify right side
    2,580.21x = 3,623,082.25
  5. Step 5: Solve for x
    x = 3,623,082.25/2,580.21
  6. Step 6: Final answer
    x = 1,404.18

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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.