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Finding the Fourth Proportional to 2,846.61, 4,270.53 and 1,614.60

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Solution

The fourth proportional to 2,846.61, 4,270.53 and 1,614.60 is: 2,422.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.61 : 4,270.53 = 1,614.60 : x
  2. Step 2: Convert to fraction form
    2,846.61/4,270.53 = 1,614.60/x
  3. Step 3: Cross multiply
    2,846.61x = 4,270.53 × 1,614.60
  4. Step 4: Simplify right side
    2,846.61x = 6,895,197.74
  5. Step 5: Solve for x
    x = 6,895,197.74/2,846.61
  6. Step 6: Final answer
    x = 2,422.25

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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.