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Finding the Fourth Proportional to 2,108.71, 3,161.22 and 875.35

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Solution

The fourth proportional to 2,108.71, 3,161.22 and 875.35 is: 1,312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.71 : 3,161.22 = 875.35 : x
  2. Step 2: Convert to fraction form
    2,108.71/3,161.22 = 875.35/x
  3. Step 3: Cross multiply
    2,108.71x = 3,161.22 × 875.35
  4. Step 4: Simplify right side
    2,108.71x = 2,767,173.93
  5. Step 5: Solve for x
    x = 2,767,173.93/2,108.71
  6. Step 6: Final answer
    x = 1,312.26

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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.