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Finding the Fourth Proportional to 3,071.71, 4,608.58 and 1,222.32

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Solution

The fourth proportional to 3,071.71, 4,608.58 and 1,222.32 is: 1,833.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.71 : 4,608.58 = 1,222.32 : x
  2. Step 2: Convert to fraction form
    3,071.71/4,608.58 = 1,222.32/x
  3. Step 3: Cross multiply
    3,071.71x = 4,608.58 × 1,222.32
  4. Step 4: Simplify right side
    3,071.71x = 5,633,176.02
  5. Step 5: Solve for x
    x = 5,633,176.02/3,071.71
  6. Step 6: Final answer
    x = 1,833.89

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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.