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Finding the Fourth Proportional to 3,113.54, 4,670.34 and 1,729.58

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Solution

The fourth proportional to 3,113.54, 4,670.34 and 1,729.58 is: 2,594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.54 : 4,670.34 = 1,729.58 : x
  2. Step 2: Convert to fraction form
    3,113.54/4,670.34 = 1,729.58/x
  3. Step 3: Cross multiply
    3,113.54x = 4,670.34 × 1,729.58
  4. Step 4: Simplify right side
    3,113.54x = 8,077,726.66
  5. Step 5: Solve for x
    x = 8,077,726.66/3,113.54
  6. Step 6: Final answer
    x = 2,594.39

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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.