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Finding the Fourth Proportional to 1,533.60, 2,115.97 and 861.23

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Solution

The fourth proportional to 1,533.60, 2,115.97 and 861.23 is: 1,188.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.60 : 2,115.97 = 861.23 : x
  2. Step 2: Convert to fraction form
    1,533.60/2,115.97 = 861.23/x
  3. Step 3: Cross multiply
    1,533.60x = 2,115.97 × 861.23
  4. Step 4: Simplify right side
    1,533.60x = 1,822,336.84
  5. Step 5: Solve for x
    x = 1,822,336.84/1,533.60
  6. Step 6: Final answer
    x = 1,188.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.