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Finding the Fourth Proportional to 2,701.16, 4,050 and 2,181.80

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Solution

The fourth proportional to 2,701.16, 4,050 and 2,181.80 is: 3,271.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.16 : 4,050 = 2,181.80 : x
  2. Step 2: Convert to fraction form
    2,701.16/4,050 = 2,181.80/x
  3. Step 3: Cross multiply
    2,701.16x = 4,050 × 2,181.80
  4. Step 4: Simplify right side
    2,701.16x = 8,836,290
  5. Step 5: Solve for x
    x = 8,836,290/2,701.16
  6. Step 6: Final answer
    x = 3,271.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.