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Finding the Fourth Proportional to 1,777.88, 2,453.76 and 1,032.28

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Solution

The fourth proportional to 1,777.88, 2,453.76 and 1,032.28 is: 1,424.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.88 : 2,453.76 = 1,032.28 : x
  2. Step 2: Convert to fraction form
    1,777.88/2,453.76 = 1,032.28/x
  3. Step 3: Cross multiply
    1,777.88x = 2,453.76 × 1,032.28
  4. Step 4: Simplify right side
    1,777.88x = 2,532,961.24
  5. Step 5: Solve for x
    x = 2,532,961.24/1,777.88
  6. Step 6: Final answer
    x = 1,424.71

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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.