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Finding the Fourth Proportional to 1,971.54, 2,957.76 and 584.82

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Solution

The fourth proportional to 1,971.54, 2,957.76 and 584.82 is: 877.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.54 : 2,957.76 = 584.82 : x
  2. Step 2: Convert to fraction form
    1,971.54/2,957.76 = 584.82/x
  3. Step 3: Cross multiply
    1,971.54x = 2,957.76 × 584.82
  4. Step 4: Simplify right side
    1,971.54x = 1,729,757.20
  5. Step 5: Solve for x
    x = 1,729,757.20/1,971.54
  6. Step 6: Final answer
    x = 877.36

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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.