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Finding the Fourth Proportional to 1,767.30, 2,651.75 and 902.22

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Solution

The fourth proportional to 1,767.30, 2,651.75 and 902.22 is: 1,353.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.30 : 2,651.75 = 902.22 : x
  2. Step 2: Convert to fraction form
    1,767.30/2,651.75 = 902.22/x
  3. Step 3: Cross multiply
    1,767.30x = 2,651.75 × 902.22
  4. Step 4: Simplify right side
    1,767.30x = 2,392,461.89
  5. Step 5: Solve for x
    x = 2,392,461.89/1,767.30
  6. Step 6: Final answer
    x = 1,353.74

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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.