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Finding the Fourth Proportional to 3,402.55, 4,695.57 and 1,910.80

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Solution

The fourth proportional to 3,402.55, 4,695.57 and 1,910.80 is: 2,636.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.55 : 4,695.57 = 1,910.80 : x
  2. Step 2: Convert to fraction form
    3,402.55/4,695.57 = 1,910.80/x
  3. Step 3: Cross multiply
    3,402.55x = 4,695.57 × 1,910.80
  4. Step 4: Simplify right side
    3,402.55x = 8,972,295.16
  5. Step 5: Solve for x
    x = 8,972,295.16/3,402.55
  6. Step 6: Final answer
    x = 2,636.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.