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Finding the Fourth Proportional to 3,432.60, 4,735.80 and 2,035.80

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Solution

The fourth proportional to 3,432.60, 4,735.80 and 2,035.80 is: 2,808.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.60 : 4,735.80 = 2,035.80 : x
  2. Step 2: Convert to fraction form
    3,432.60/4,735.80 = 2,035.80/x
  3. Step 3: Cross multiply
    3,432.60x = 4,735.80 × 2,035.80
  4. Step 4: Simplify right side
    3,432.60x = 9,641,141.64
  5. Step 5: Solve for x
    x = 9,641,141.64/3,432.60
  6. Step 6: Final answer
    x = 2,808.70

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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.