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Finding the Fourth Proportional to 2,751.66, 4,127.05 and 803.41

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Solution

The fourth proportional to 2,751.66, 4,127.05 and 803.41 is: 1,204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.66 : 4,127.05 = 803.41 : x
  2. Step 2: Convert to fraction form
    2,751.66/4,127.05 = 803.41/x
  3. Step 3: Cross multiply
    2,751.66x = 4,127.05 × 803.41
  4. Step 4: Simplify right side
    2,751.66x = 3,315,688.59
  5. Step 5: Solve for x
    x = 3,315,688.59/2,751.66
  6. Step 6: Final answer
    x = 1,204.98

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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.