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Finding the Fourth Proportional to 3,104.61, 4,650.71 and 1,871.34

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Solution

The fourth proportional to 3,104.61, 4,650.71 and 1,871.34 is: 2,803.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.61 : 4,650.71 = 1,871.34 : x
  2. Step 2: Convert to fraction form
    3,104.61/4,650.71 = 1,871.34/x
  3. Step 3: Cross multiply
    3,104.61x = 4,650.71 × 1,871.34
  4. Step 4: Simplify right side
    3,104.61x = 8,703,050.29
  5. Step 5: Solve for x
    x = 8,703,050.29/3,104.61
  6. Step 6: Final answer
    x = 2,803.27

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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.