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Finding the Fourth Proportional to 1,653.31, 2,476.59 and 923.28

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Solution

The fourth proportional to 1,653.31, 2,476.59 and 923.28 is: 1,383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.31 : 2,476.59 = 923.28 : x
  2. Step 2: Convert to fraction form
    1,653.31/2,476.59 = 923.28/x
  3. Step 3: Cross multiply
    1,653.31x = 2,476.59 × 923.28
  4. Step 4: Simplify right side
    1,653.31x = 2,286,586.02
  5. Step 5: Solve for x
    x = 2,286,586.02/1,653.31
  6. Step 6: Final answer
    x = 1,383.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.