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Finding the Fourth Proportional to 1,756.90, 2,627.60 and 1,563.26

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Solution

The fourth proportional to 1,756.90, 2,627.60 and 1,563.26 is: 2,338.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.90 : 2,627.60 = 1,563.26 : x
  2. Step 2: Convert to fraction form
    1,756.90/2,627.60 = 1,563.26/x
  3. Step 3: Cross multiply
    1,756.90x = 2,627.60 × 1,563.26
  4. Step 4: Simplify right side
    1,756.90x = 4,107,620.73
  5. Step 5: Solve for x
    x = 4,107,620.73/1,756.90
  6. Step 6: Final answer
    x = 2,338.00

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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.