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Finding the Fourth Proportional to 1,533.20, 2,115.82 and 903.75

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Solution

The fourth proportional to 1,533.20, 2,115.82 and 903.75 is: 1,247.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.20 : 2,115.82 = 903.75 : x
  2. Step 2: Convert to fraction form
    1,533.20/2,115.82 = 903.75/x
  3. Step 3: Cross multiply
    1,533.20x = 2,115.82 × 903.75
  4. Step 4: Simplify right side
    1,533.20x = 1,912,172.33
  5. Step 5: Solve for x
    x = 1,912,172.33/1,533.20
  6. Step 6: Final answer
    x = 1,247.18

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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.