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Finding the Fourth Proportional to 3,314.19, 4,970.98 and 848.96

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Solution

The fourth proportional to 3,314.19, 4,970.98 and 848.96 is: 1,273.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.19 : 4,970.98 = 848.96 : x
  2. Step 2: Convert to fraction form
    3,314.19/4,970.98 = 848.96/x
  3. Step 3: Cross multiply
    3,314.19x = 4,970.98 × 848.96
  4. Step 4: Simplify right side
    3,314.19x = 4,220,163.18
  5. Step 5: Solve for x
    x = 4,220,163.18/3,314.19
  6. Step 6: Final answer
    x = 1,273.36

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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.