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Finding the Fourth Proportional to 1,669.20, 2,509.20 and 1,185.60

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Solution

The fourth proportional to 1,669.20, 2,509.20 and 1,185.60 is: 1,782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.20 : 2,509.20 = 1,185.60 : x
  2. Step 2: Convert to fraction form
    1,669.20/2,509.20 = 1,185.60/x
  3. Step 3: Cross multiply
    1,669.20x = 2,509.20 × 1,185.60
  4. Step 4: Simplify right side
    1,669.20x = 2,974,907.52
  5. Step 5: Solve for x
    x = 2,974,907.52/1,669.20
  6. Step 6: Final answer
    x = 1,782.24

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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.