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Finding the Fourth Proportional to 1,533.36, 2,116.31 and 903.85

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Solution

The fourth proportional to 1,533.36, 2,116.31 and 903.85 is: 1,247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.36 : 2,116.31 = 903.85 : x
  2. Step 2: Convert to fraction form
    1,533.36/2,116.31 = 903.85/x
  3. Step 3: Cross multiply
    1,533.36x = 2,116.31 × 903.85
  4. Step 4: Simplify right side
    1,533.36x = 1,912,815.47
  5. Step 5: Solve for x
    x = 1,912,815.47/1,533.36
  6. Step 6: Final answer
    x = 1,247.47

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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.