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Finding the Fourth Proportional to 1,777.73, 2,450.99 and 1,457.52

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Solution

The fourth proportional to 1,777.73, 2,450.99 and 1,457.52 is: 2,009.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.73 : 2,450.99 = 1,457.52 : x
  2. Step 2: Convert to fraction form
    1,777.73/2,450.99 = 1,457.52/x
  3. Step 3: Cross multiply
    1,777.73x = 2,450.99 × 1,457.52
  4. Step 4: Simplify right side
    1,777.73x = 3,572,359.66
  5. Step 5: Solve for x
    x = 3,572,359.66/1,777.73
  6. Step 6: Final answer
    x = 2,009.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.