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Finding the Fourth Proportional to 1,476.96, 2,215.56 and 381.31

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Solution

The fourth proportional to 1,476.96, 2,215.56 and 381.31 is: 572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.96 : 2,215.56 = 381.31 : x
  2. Step 2: Convert to fraction form
    1,476.96/2,215.56 = 381.31/x
  3. Step 3: Cross multiply
    1,476.96x = 2,215.56 × 381.31
  4. Step 4: Simplify right side
    1,476.96x = 844,815.18
  5. Step 5: Solve for x
    x = 844,815.18/1,476.96
  6. Step 6: Final answer
    x = 572.00

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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.