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Finding the Fourth Proportional to 3,310.60, 4,968.70 and 1,364.20

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Solution

The fourth proportional to 3,310.60, 4,968.70 and 1,364.20 is: 2,047.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.60 : 4,968.70 = 1,364.20 : x
  2. Step 2: Convert to fraction form
    3,310.60/4,968.70 = 1,364.20/x
  3. Step 3: Cross multiply
    3,310.60x = 4,968.70 × 1,364.20
  4. Step 4: Simplify right side
    3,310.60x = 6,778,300.54
  5. Step 5: Solve for x
    x = 6,778,300.54/3,310.60
  6. Step 6: Final answer
    x = 2,047.45

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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.