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Finding the Fourth Proportional to 2,642.44, 3,940.40 and 2,457.76

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Solution

The fourth proportional to 2,642.44, 3,940.40 and 2,457.76 is: 3,665.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.44 : 3,940.40 = 2,457.76 : x
  2. Step 2: Convert to fraction form
    2,642.44/3,940.40 = 2,457.76/x
  3. Step 3: Cross multiply
    2,642.44x = 3,940.40 × 2,457.76
  4. Step 4: Simplify right side
    2,642.44x = 9,684,557.50
  5. Step 5: Solve for x
    x = 9,684,557.50/2,642.44
  6. Step 6: Final answer
    x = 3,665.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.