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Finding the Fourth Proportional to 1,566.22, 2,161.16 and 902.94

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Solution

The fourth proportional to 1,566.22, 2,161.16 and 902.94 is: 1,245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.22 : 2,161.16 = 902.94 : x
  2. Step 2: Convert to fraction form
    1,566.22/2,161.16 = 902.94/x
  3. Step 3: Cross multiply
    1,566.22x = 2,161.16 × 902.94
  4. Step 4: Simplify right side
    1,566.22x = 1,951,393.30
  5. Step 5: Solve for x
    x = 1,951,393.30/1,566.22
  6. Step 6: Final answer
    x = 1,245.93

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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.