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Finding the Fourth Proportional to 1,573.62, 2,172.61 and 976.75

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Solution

The fourth proportional to 1,573.62, 2,172.61 and 976.75 is: 1,348.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.62 : 2,172.61 = 976.75 : x
  2. Step 2: Convert to fraction form
    1,573.62/2,172.61 = 976.75/x
  3. Step 3: Cross multiply
    1,573.62x = 2,172.61 × 976.75
  4. Step 4: Simplify right side
    1,573.62x = 2,122,092.61
  5. Step 5: Solve for x
    x = 2,122,092.61/1,573.62
  6. Step 6: Final answer
    x = 1,348.55

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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.