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Finding the Fourth Proportional to 2,142.41, 3,213.58 and 582.45

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Solution

The fourth proportional to 2,142.41, 3,213.58 and 582.45 is: 873.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.41 : 3,213.58 = 582.45 : x
  2. Step 2: Convert to fraction form
    2,142.41/3,213.58 = 582.45/x
  3. Step 3: Cross multiply
    2,142.41x = 3,213.58 × 582.45
  4. Step 4: Simplify right side
    2,142.41x = 1,871,733.60
  5. Step 5: Solve for x
    x = 1,871,733.60/2,142.41
  6. Step 6: Final answer
    x = 873.66

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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.