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Finding the Fourth Proportional to 2,302.41, 3,453.62 and 571.04

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Solution

The fourth proportional to 2,302.41, 3,453.62 and 571.04 is: 856.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.41 : 3,453.62 = 571.04 : x
  2. Step 2: Convert to fraction form
    2,302.41/3,453.62 = 571.04/x
  3. Step 3: Cross multiply
    2,302.41x = 3,453.62 × 571.04
  4. Step 4: Simplify right side
    2,302.41x = 1,972,135.04
  5. Step 5: Solve for x
    x = 1,972,135.04/2,302.41
  6. Step 6: Final answer
    x = 856.55

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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.