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Finding the Fourth Proportional to 3,188.40, 4,784.46 and 1,339.38

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Solution

The fourth proportional to 3,188.40, 4,784.46 and 1,339.38 is: 2,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.40 : 4,784.46 = 1,339.38 : x
  2. Step 2: Convert to fraction form
    3,188.40/4,784.46 = 1,339.38/x
  3. Step 3: Cross multiply
    3,188.40x = 4,784.46 × 1,339.38
  4. Step 4: Simplify right side
    3,188.40x = 6,408,210.03
  5. Step 5: Solve for x
    x = 6,408,210.03/3,188.40
  6. Step 6: Final answer
    x = 2,009.85

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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.