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Finding the Fourth Proportional to 2,509.58, 3,764.68 and 867.31

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Solution

The fourth proportional to 2,509.58, 3,764.68 and 867.31 is: 1,301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.58 : 3,764.68 = 867.31 : x
  2. Step 2: Convert to fraction form
    2,509.58/3,764.68 = 867.31/x
  3. Step 3: Cross multiply
    2,509.58x = 3,764.68 × 867.31
  4. Step 4: Simplify right side
    2,509.58x = 3,265,133.03
  5. Step 5: Solve for x
    x = 3,265,133.03/2,509.58
  6. Step 6: Final answer
    x = 1,301.07

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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.