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Finding the Fourth Proportional to 2,686.85, 4,026.53 and 1,451.60

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Solution

The fourth proportional to 2,686.85, 4,026.53 and 1,451.60 is: 2,175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.85 : 4,026.53 = 1,451.60 : x
  2. Step 2: Convert to fraction form
    2,686.85/4,026.53 = 1,451.60/x
  3. Step 3: Cross multiply
    2,686.85x = 4,026.53 × 1,451.60
  4. Step 4: Simplify right side
    2,686.85x = 5,844,910.95
  5. Step 5: Solve for x
    x = 5,844,910.95/2,686.85
  6. Step 6: Final answer
    x = 2,175.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.