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Finding the Fourth Proportional to 1,777.84, 2,451.24 and 1,462

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Solution

The fourth proportional to 1,777.84, 2,451.24 and 1,462 is: 2,015.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.84 : 2,451.24 = 1,462 : x
  2. Step 2: Convert to fraction form
    1,777.84/2,451.24 = 1,462/x
  3. Step 3: Cross multiply
    1,777.84x = 2,451.24 × 1,462
  4. Step 4: Simplify right side
    1,777.84x = 3,583,712.88
  5. Step 5: Solve for x
    x = 3,583,712.88/1,777.84
  6. Step 6: Final answer
    x = 2,015.77

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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.