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Finding the Fourth Proportional to 4,976.80, 7,461.60 and 2,053.60

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Solution

The fourth proportional to 4,976.80, 7,461.60 and 2,053.60 is: 3,078.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.80 : 7,461.60 = 2,053.60 : x
  2. Step 2: Convert to fraction form
    4,976.80/7,461.60 = 2,053.60/x
  3. Step 3: Cross multiply
    4,976.80x = 7,461.60 × 2,053.60
  4. Step 4: Simplify right side
    4,976.80x = 15,323,141.76
  5. Step 5: Solve for x
    x = 15,323,141.76/4,976.80
  6. Step 6: Final answer
    x = 3,078.91

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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.