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Finding the Fourth Proportional to 2,165.22, 3,245.18 and 930.02

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Solution

The fourth proportional to 2,165.22, 3,245.18 and 930.02 is: 1,393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.22 : 3,245.18 = 930.02 : x
  2. Step 2: Convert to fraction form
    2,165.22/3,245.18 = 930.02/x
  3. Step 3: Cross multiply
    2,165.22x = 3,245.18 × 930.02
  4. Step 4: Simplify right side
    2,165.22x = 3,018,061.43
  5. Step 5: Solve for x
    x = 3,018,061.43/2,165.22
  6. Step 6: Final answer
    x = 1,393.88

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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.