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Finding the Fourth Proportional to 3,111.84, 4,659.66 and 1,812.60

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Solution

The fourth proportional to 3,111.84, 4,659.66 and 1,812.60 is: 2,714.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.84 : 4,659.66 = 1,812.60 : x
  2. Step 2: Convert to fraction form
    3,111.84/4,659.66 = 1,812.60/x
  3. Step 3: Cross multiply
    3,111.84x = 4,659.66 × 1,812.60
  4. Step 4: Simplify right side
    3,111.84x = 8,446,099.72
  5. Step 5: Solve for x
    x = 8,446,099.72/3,111.84
  6. Step 6: Final answer
    x = 2,714.18

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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.