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Finding the Fourth Proportional to 1,548.89, 2,323.70 and 855.39

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Solution

The fourth proportional to 1,548.89, 2,323.70 and 855.39 is: 1,283.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.89 : 2,323.70 = 855.39 : x
  2. Step 2: Convert to fraction form
    1,548.89/2,323.70 = 855.39/x
  3. Step 3: Cross multiply
    1,548.89x = 2,323.70 × 855.39
  4. Step 4: Simplify right side
    1,548.89x = 1,987,665.47
  5. Step 5: Solve for x
    x = 1,987,665.47/1,548.89
  6. Step 6: Final answer
    x = 1,283.29

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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.