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Finding the Fourth Proportional to 2,287.72, 3,430.08 and 901.24

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Solution

The fourth proportional to 2,287.72, 3,430.08 and 901.24 is: 1,351.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.72 : 3,430.08 = 901.24 : x
  2. Step 2: Convert to fraction form
    2,287.72/3,430.08 = 901.24/x
  3. Step 3: Cross multiply
    2,287.72x = 3,430.08 × 901.24
  4. Step 4: Simplify right side
    2,287.72x = 3,091,325.30
  5. Step 5: Solve for x
    x = 3,091,325.30/2,287.72
  6. Step 6: Final answer
    x = 1,351.27

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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.