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Finding the Fourth Proportional to 3,188.79, 4,782.80 and 848.97

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Solution

The fourth proportional to 3,188.79, 4,782.80 and 848.97 is: 1,273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.79 : 4,782.80 = 848.97 : x
  2. Step 2: Convert to fraction form
    3,188.79/4,782.80 = 848.97/x
  3. Step 3: Cross multiply
    3,188.79x = 4,782.80 × 848.97
  4. Step 4: Simplify right side
    3,188.79x = 4,060,449.47
  5. Step 5: Solve for x
    x = 4,060,449.47/3,188.79
  6. Step 6: Final answer
    x = 1,273.35

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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.