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Finding the Fourth Proportional to 3,318.06, 4,976.93 and 977.97

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Solution

The fourth proportional to 3,318.06, 4,976.93 and 977.97 is: 1,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.06 : 4,976.93 = 977.97 : x
  2. Step 2: Convert to fraction form
    3,318.06/4,976.93 = 977.97/x
  3. Step 3: Cross multiply
    3,318.06x = 4,976.93 × 977.97
  4. Step 4: Simplify right side
    3,318.06x = 4,867,283.34
  5. Step 5: Solve for x
    x = 4,867,283.34/3,318.06
  6. Step 6: Final answer
    x = 1,466.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.