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Finding the Fourth Proportional to 2,968.21, 4,114.86 and 2,810.21

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Solution

The fourth proportional to 2,968.21, 4,114.86 and 2,810.21 is: 3,895.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.21 : 4,114.86 = 2,810.21 : x
  2. Step 2: Convert to fraction form
    2,968.21/4,114.86 = 2,810.21/x
  3. Step 3: Cross multiply
    2,968.21x = 4,114.86 × 2,810.21
  4. Step 4: Simplify right side
    2,968.21x = 11,563,628.56
  5. Step 5: Solve for x
    x = 11,563,628.56/2,968.21
  6. Step 6: Final answer
    x = 3,895.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.