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Finding the Fourth Proportional to 3,053.28, 4,580 and 861.88

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Solution

The fourth proportional to 3,053.28, 4,580 and 861.88 is: 1,292.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.28 : 4,580 = 861.88 : x
  2. Step 2: Convert to fraction form
    3,053.28/4,580 = 861.88/x
  3. Step 3: Cross multiply
    3,053.28x = 4,580 × 861.88
  4. Step 4: Simplify right side
    3,053.28x = 3,947,410.40
  5. Step 5: Solve for x
    x = 3,947,410.40/3,053.28
  6. Step 6: Final answer
    x = 1,292.84

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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.