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Finding the Fourth Proportional to 3,102.60, 4,653.81 and 1,022.70

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Solution

The fourth proportional to 3,102.60, 4,653.81 and 1,022.70 is: 1,534.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.60 : 4,653.81 = 1,022.70 : x
  2. Step 2: Convert to fraction form
    3,102.60/4,653.81 = 1,022.70/x
  3. Step 3: Cross multiply
    3,102.60x = 4,653.81 × 1,022.70
  4. Step 4: Simplify right side
    3,102.60x = 4,759,451.49
  5. Step 5: Solve for x
    x = 4,759,451.49/3,102.60
  6. Step 6: Final answer
    x = 1,534.02

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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.