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Finding the Fourth Proportional to 3,096.16, 4,272.71 and 1,770.64

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Solution

The fourth proportional to 3,096.16, 4,272.71 and 1,770.64 is: 2,443.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.16 : 4,272.71 = 1,770.64 : x
  2. Step 2: Convert to fraction form
    3,096.16/4,272.71 = 1,770.64/x
  3. Step 3: Cross multiply
    3,096.16x = 4,272.71 × 1,770.64
  4. Step 4: Simplify right side
    3,096.16x = 7,565,411.70
  5. Step 5: Solve for x
    x = 7,565,411.70/3,096.16
  6. Step 6: Final answer
    x = 2,443.48

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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.