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Finding the Fourth Proportional to 1,625.28, 2,242.98 and 962.04

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Solution

The fourth proportional to 1,625.28, 2,242.98 and 962.04 is: 1,327.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.28 : 2,242.98 = 962.04 : x
  2. Step 2: Convert to fraction form
    1,625.28/2,242.98 = 962.04/x
  3. Step 3: Cross multiply
    1,625.28x = 2,242.98 × 962.04
  4. Step 4: Simplify right side
    1,625.28x = 2,157,836.48
  5. Step 5: Solve for x
    x = 2,157,836.48/1,625.28
  6. Step 6: Final answer
    x = 1,327.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.