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Finding the Fourth Proportional to 2,355.07, 3,533.14 and 816.07

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Solution

The fourth proportional to 2,355.07, 3,533.14 and 816.07 is: 1,224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.07 : 3,533.14 = 816.07 : x
  2. Step 2: Convert to fraction form
    2,355.07/3,533.14 = 816.07/x
  3. Step 3: Cross multiply
    2,355.07x = 3,533.14 × 816.07
  4. Step 4: Simplify right side
    2,355.07x = 2,883,289.56
  5. Step 5: Solve for x
    x = 2,883,289.56/2,355.07
  6. Step 6: Final answer
    x = 1,224.29

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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.