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Finding the Fourth Proportional to 1,801.60, 2,698.22 and 1,752.42

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Solution

The fourth proportional to 1,801.60, 2,698.22 and 1,752.42 is: 2,624.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.60 : 2,698.22 = 1,752.42 : x
  2. Step 2: Convert to fraction form
    1,801.60/2,698.22 = 1,752.42/x
  3. Step 3: Cross multiply
    1,801.60x = 2,698.22 × 1,752.42
  4. Step 4: Simplify right side
    1,801.60x = 4,728,414.69
  5. Step 5: Solve for x
    x = 4,728,414.69/1,801.60
  6. Step 6: Final answer
    x = 2,624.56

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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.