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Finding the Fourth Proportional to 1,563.57, 2,157.65 and 900.45

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Solution

The fourth proportional to 1,563.57, 2,157.65 and 900.45 is: 1,242.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.57 : 2,157.65 = 900.45 : x
  2. Step 2: Convert to fraction form
    1,563.57/2,157.65 = 900.45/x
  3. Step 3: Cross multiply
    1,563.57x = 2,157.65 × 900.45
  4. Step 4: Simplify right side
    1,563.57x = 1,942,859.88
  5. Step 5: Solve for x
    x = 1,942,859.88/1,563.57
  6. Step 6: Final answer
    x = 1,242.58

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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.