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Finding the Fourth Proportional to 2,461.97, 3,696.59 and 2,343.03

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Solution

The fourth proportional to 2,461.97, 3,696.59 and 2,343.03 is: 3,518.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.97 : 3,696.59 = 2,343.03 : x
  2. Step 2: Convert to fraction form
    2,461.97/3,696.59 = 2,343.03/x
  3. Step 3: Cross multiply
    2,461.97x = 3,696.59 × 2,343.03
  4. Step 4: Simplify right side
    2,461.97x = 8,661,227.13
  5. Step 5: Solve for x
    x = 8,661,227.13/2,461.97
  6. Step 6: Final answer
    x = 3,518.01

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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.