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Finding the Fourth Proportional to 2,014.20, 2,778.23 and 1,641.20

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Solution

The fourth proportional to 2,014.20, 2,778.23 and 1,641.20 is: 2,263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.20 : 2,778.23 = 1,641.20 : x
  2. Step 2: Convert to fraction form
    2,014.20/2,778.23 = 1,641.20/x
  3. Step 3: Cross multiply
    2,014.20x = 2,778.23 × 1,641.20
  4. Step 4: Simplify right side
    2,014.20x = 4,559,621.29
  5. Step 5: Solve for x
    x = 4,559,621.29/2,014.20
  6. Step 6: Final answer
    x = 2,263.74

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Why These Related Problems?

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