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Finding the Fourth Proportional to 2,288.50, 3,430.16 and 1,499.36

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Solution

The fourth proportional to 2,288.50, 3,430.16 and 1,499.36 is: 2,247.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.50 : 3,430.16 = 1,499.36 : x
  2. Step 2: Convert to fraction form
    2,288.50/3,430.16 = 1,499.36/x
  3. Step 3: Cross multiply
    2,288.50x = 3,430.16 × 1,499.36
  4. Step 4: Simplify right side
    2,288.50x = 5,143,044.70
  5. Step 5: Solve for x
    x = 5,143,044.70/2,288.50
  6. Step 6: Final answer
    x = 2,247.34

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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.