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Finding the Fourth Proportional to 3,059.16, 4,588.80 and 867.96

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Solution

The fourth proportional to 3,059.16, 4,588.80 and 867.96 is: 1,301.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.16 : 4,588.80 = 867.96 : x
  2. Step 2: Convert to fraction form
    3,059.16/4,588.80 = 867.96/x
  3. Step 3: Cross multiply
    3,059.16x = 4,588.80 × 867.96
  4. Step 4: Simplify right side
    3,059.16x = 3,982,894.85
  5. Step 5: Solve for x
    x = 3,982,894.85/3,059.16
  6. Step 6: Final answer
    x = 1,301.96

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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.