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Finding the Fourth Proportional to 3,415.02, 5,122.54 and 1,193.88

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Solution

The fourth proportional to 3,415.02, 5,122.54 and 1,193.88 is: 1,790.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.02 : 5,122.54 = 1,193.88 : x
  2. Step 2: Convert to fraction form
    3,415.02/5,122.54 = 1,193.88/x
  3. Step 3: Cross multiply
    3,415.02x = 5,122.54 × 1,193.88
  4. Step 4: Simplify right side
    3,415.02x = 6,115,698.06
  5. Step 5: Solve for x
    x = 6,115,698.06/3,415.02
  6. Step 6: Final answer
    x = 1,790.82

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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.