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Finding the Fourth Proportional to 1,563.24, 2,157.46 and 900.76

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Solution

The fourth proportional to 1,563.24, 2,157.46 and 900.76 is: 1,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.24 : 2,157.46 = 900.76 : x
  2. Step 2: Convert to fraction form
    1,563.24/2,157.46 = 900.76/x
  3. Step 3: Cross multiply
    1,563.24x = 2,157.46 × 900.76
  4. Step 4: Simplify right side
    1,563.24x = 1,943,353.67
  5. Step 5: Solve for x
    x = 1,943,353.67/1,563.24
  6. Step 6: Final answer
    x = 1,243.16

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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.