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Finding the Fourth Proportional to 3,405.88, 4,699.65 and 1,989.46

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Solution

The fourth proportional to 3,405.88, 4,699.65 and 1,989.46 is: 2,745.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.88 : 4,699.65 = 1,989.46 : x
  2. Step 2: Convert to fraction form
    3,405.88/4,699.65 = 1,989.46/x
  3. Step 3: Cross multiply
    3,405.88x = 4,699.65 × 1,989.46
  4. Step 4: Simplify right side
    3,405.88x = 9,349,765.69
  5. Step 5: Solve for x
    x = 9,349,765.69/3,405.88
  6. Step 6: Final answer
    x = 2,745.18

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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.