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Finding the Fourth Proportional to 2,810.18, 3,875.90 and 2,149.22

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Solution

The fourth proportional to 2,810.18, 3,875.90 and 2,149.22 is: 2,964.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.18 : 3,875.90 = 2,149.22 : x
  2. Step 2: Convert to fraction form
    2,810.18/3,875.90 = 2,149.22/x
  3. Step 3: Cross multiply
    2,810.18x = 3,875.90 × 2,149.22
  4. Step 4: Simplify right side
    2,810.18x = 8,330,161.80
  5. Step 5: Solve for x
    x = 8,330,161.80/2,810.18
  6. Step 6: Final answer
    x = 2,964.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.