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Finding the Fourth Proportional to 3,106.84, 4,660.28 and 1,350.40

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Solution

The fourth proportional to 3,106.84, 4,660.28 and 1,350.40 is: 2,025.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.84 : 4,660.28 = 1,350.40 : x
  2. Step 2: Convert to fraction form
    3,106.84/4,660.28 = 1,350.40/x
  3. Step 3: Cross multiply
    3,106.84x = 4,660.28 × 1,350.40
  4. Step 4: Simplify right side
    3,106.84x = 6,293,242.11
  5. Step 5: Solve for x
    x = 6,293,242.11/3,106.84
  6. Step 6: Final answer
    x = 2,025.61

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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.