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Finding the Fourth Proportional to 3,106.68, 4,659.28 and 1,461.68

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Solution

The fourth proportional to 3,106.68, 4,659.28 and 1,461.68 is: 2,192.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.68 : 4,659.28 = 1,461.68 : x
  2. Step 2: Convert to fraction form
    3,106.68/4,659.28 = 1,461.68/x
  3. Step 3: Cross multiply
    3,106.68x = 4,659.28 × 1,461.68
  4. Step 4: Simplify right side
    3,106.68x = 6,810,376.39
  5. Step 5: Solve for x
    x = 6,810,376.39/3,106.68
  6. Step 6: Final answer
    x = 2,192.17

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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.