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Finding the Fourth Proportional to 3,188.40, 4,782.28 and 848.46

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Solution

The fourth proportional to 3,188.40, 4,782.28 and 848.46 is: 1,272.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.40 : 4,782.28 = 848.46 : x
  2. Step 2: Convert to fraction form
    3,188.40/4,782.28 = 848.46/x
  3. Step 3: Cross multiply
    3,188.40x = 4,782.28 × 848.46
  4. Step 4: Simplify right side
    3,188.40x = 4,057,573.29
  5. Step 5: Solve for x
    x = 4,057,573.29/3,188.40
  6. Step 6: Final answer
    x = 1,272.60

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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.