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Finding the Fourth Proportional to 1,752.20, 2,628.55 and 519.45

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Solution

The fourth proportional to 1,752.20, 2,628.55 and 519.45 is: 779.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.20 : 2,628.55 = 519.45 : x
  2. Step 2: Convert to fraction form
    1,752.20/2,628.55 = 519.45/x
  3. Step 3: Cross multiply
    1,752.20x = 2,628.55 × 519.45
  4. Step 4: Simplify right side
    1,752.20x = 1,365,391.09
  5. Step 5: Solve for x
    x = 1,365,391.09/1,752.20
  6. Step 6: Final answer
    x = 779.24

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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.