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Finding the Fourth Proportional to 2,989.78, 4,487.37 and 1,346.02

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Solution

The fourth proportional to 2,989.78, 4,487.37 and 1,346.02 is: 2,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.78 : 4,487.37 = 1,346.02 : x
  2. Step 2: Convert to fraction form
    2,989.78/4,487.37 = 1,346.02/x
  3. Step 3: Cross multiply
    2,989.78x = 4,487.37 × 1,346.02
  4. Step 4: Simplify right side
    2,989.78x = 6,040,089.77
  5. Step 5: Solve for x
    x = 6,040,089.77/2,989.78
  6. Step 6: Final answer
    x = 2,020.25

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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.