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Finding the Fourth Proportional to 1,563.33, 2,157.66 and 900.06

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Solution

The fourth proportional to 1,563.33, 2,157.66 and 900.06 is: 1,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.33 : 2,157.66 = 900.06 : x
  2. Step 2: Convert to fraction form
    1,563.33/2,157.66 = 900.06/x
  3. Step 3: Cross multiply
    1,563.33x = 2,157.66 × 900.06
  4. Step 4: Simplify right side
    1,563.33x = 1,942,023.46
  5. Step 5: Solve for x
    x = 1,942,023.46/1,563.33
  6. Step 6: Final answer
    x = 1,242.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.