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Finding the Fourth Proportional to 2,415.31, 3,622.02 and 1,029.29

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Solution

The fourth proportional to 2,415.31, 3,622.02 and 1,029.29 is: 1,543.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.31 : 3,622.02 = 1,029.29 : x
  2. Step 2: Convert to fraction form
    2,415.31/3,622.02 = 1,029.29/x
  3. Step 3: Cross multiply
    2,415.31x = 3,622.02 × 1,029.29
  4. Step 4: Simplify right side
    2,415.31x = 3,728,108.97
  5. Step 5: Solve for x
    x = 3,728,108.97/2,415.31
  6. Step 6: Final answer
    x = 1,543.53

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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.