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Finding the Fourth Proportional to 1,782.19, 2,669.64 and 1,320.49

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Solution

The fourth proportional to 1,782.19, 2,669.64 and 1,320.49 is: 1,978.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.19 : 2,669.64 = 1,320.49 : x
  2. Step 2: Convert to fraction form
    1,782.19/2,669.64 = 1,320.49/x
  3. Step 3: Cross multiply
    1,782.19x = 2,669.64 × 1,320.49
  4. Step 4: Simplify right side
    1,782.19x = 3,525,232.92
  5. Step 5: Solve for x
    x = 3,525,232.92/1,782.19
  6. Step 6: Final answer
    x = 1,978.03

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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.