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Finding the Fourth Proportional to 2,134.56, 3,203.09 and 901.88

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Solution

The fourth proportional to 2,134.56, 3,203.09 and 901.88 is: 1,353.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.56 : 3,203.09 = 901.88 : x
  2. Step 2: Convert to fraction form
    2,134.56/3,203.09 = 901.88/x
  3. Step 3: Cross multiply
    2,134.56x = 3,203.09 × 901.88
  4. Step 4: Simplify right side
    2,134.56x = 2,888,802.81
  5. Step 5: Solve for x
    x = 2,888,802.81/2,134.56
  6. Step 6: Final answer
    x = 1,353.35

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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.