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Finding the Fourth Proportional to 3,143.40, 4,701.60 and 2,816.70

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Solution

The fourth proportional to 3,143.40, 4,701.60 and 2,816.70 is: 4,212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.40 : 4,701.60 = 2,816.70 : x
  2. Step 2: Convert to fraction form
    3,143.40/4,701.60 = 2,816.70/x
  3. Step 3: Cross multiply
    3,143.40x = 4,701.60 × 2,816.70
  4. Step 4: Simplify right side
    3,143.40x = 13,242,996.72
  5. Step 5: Solve for x
    x = 13,242,996.72/3,143.40
  6. Step 6: Final answer
    x = 4,212.95

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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.