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Finding the Fourth Proportional to 2,405.80, 3,320.49 and 1,566.64

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Solution

The fourth proportional to 2,405.80, 3,320.49 and 1,566.64 is: 2,162.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.80 : 3,320.49 = 1,566.64 : x
  2. Step 2: Convert to fraction form
    2,405.80/3,320.49 = 1,566.64/x
  3. Step 3: Cross multiply
    2,405.80x = 3,320.49 × 1,566.64
  4. Step 4: Simplify right side
    2,405.80x = 5,202,012.45
  5. Step 5: Solve for x
    x = 5,202,012.45/2,405.80
  6. Step 6: Final answer
    x = 2,162.28

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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.