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Finding the Fourth Proportional to 1,584.71, 2,376.34 and 544.42

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Solution

The fourth proportional to 1,584.71, 2,376.34 and 544.42 is: 816.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.71 : 2,376.34 = 544.42 : x
  2. Step 2: Convert to fraction form
    1,584.71/2,376.34 = 544.42/x
  3. Step 3: Cross multiply
    1,584.71x = 2,376.34 × 544.42
  4. Step 4: Simplify right side
    1,584.71x = 1,293,719.72
  5. Step 5: Solve for x
    x = 1,293,719.72/1,584.71
  6. Step 6: Final answer
    x = 816.38

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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.