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Finding the Fourth Proportional to 3,222.58, 4,833.87 and 1,031.48

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Solution

The fourth proportional to 3,222.58, 4,833.87 and 1,031.48 is: 1,547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.58 : 4,833.87 = 1,031.48 : x
  2. Step 2: Convert to fraction form
    3,222.58/4,833.87 = 1,031.48/x
  3. Step 3: Cross multiply
    3,222.58x = 4,833.87 × 1,031.48
  4. Step 4: Simplify right side
    3,222.58x = 4,986,040.23
  5. Step 5: Solve for x
    x = 4,986,040.23/3,222.58
  6. Step 6: Final answer
    x = 1,547.22

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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.