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Finding the Fourth Proportional to 1,782.49, 2,669.77 and 1,368.58

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Solution

The fourth proportional to 1,782.49, 2,669.77 and 1,368.58 is: 2,049.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.49 : 2,669.77 = 1,368.58 : x
  2. Step 2: Convert to fraction form
    1,782.49/2,669.77 = 1,368.58/x
  3. Step 3: Cross multiply
    1,782.49x = 2,669.77 × 1,368.58
  4. Step 4: Simplify right side
    1,782.49x = 3,653,777.06
  5. Step 5: Solve for x
    x = 3,653,777.06/1,782.49
  6. Step 6: Final answer
    x = 2,049.82

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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.