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Finding the Fourth Proportional to 3,014, 4,160.16 and 1,755.30

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Solution

The fourth proportional to 3,014, 4,160.16 and 1,755.30 is: 2,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014 : 4,160.16 = 1,755.30 : x
  2. Step 2: Convert to fraction form
    3,014/4,160.16 = 1,755.30/x
  3. Step 3: Cross multiply
    3,014x = 4,160.16 × 1,755.30
  4. Step 4: Simplify right side
    3,014x = 7,302,328.85
  5. Step 5: Solve for x
    x = 7,302,328.85/3,014
  6. Step 6: Final answer
    x = 2,422.80

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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.