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Finding the Fourth Proportional to 1,563.10, 2,157.81 and 899.82

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Solution

The fourth proportional to 1,563.10, 2,157.81 and 899.82 is: 1,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.10 : 2,157.81 = 899.82 : x
  2. Step 2: Convert to fraction form
    1,563.10/2,157.81 = 899.82/x
  3. Step 3: Cross multiply
    1,563.10x = 2,157.81 × 899.82
  4. Step 4: Simplify right side
    1,563.10x = 1,941,640.59
  5. Step 5: Solve for x
    x = 1,941,640.59/1,563.10
  6. Step 6: Final answer
    x = 1,242.17

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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.