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Finding the Fourth Proportional to 2,461.02, 3,684.22 and 2,457.78

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Solution

The fourth proportional to 2,461.02, 3,684.22 and 2,457.78 is: 3,679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.02 : 3,684.22 = 2,457.78 : x
  2. Step 2: Convert to fraction form
    2,461.02/3,684.22 = 2,457.78/x
  3. Step 3: Cross multiply
    2,461.02x = 3,684.22 × 2,457.78
  4. Step 4: Simplify right side
    2,461.02x = 9,055,002.23
  5. Step 5: Solve for x
    x = 9,055,002.23/2,461.02
  6. Step 6: Final answer
    x = 3,679.37

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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.