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Finding the Fourth Proportional to 2,969.00, 4,453.65 and 2,533.29

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Solution

The fourth proportional to 2,969.00, 4,453.65 and 2,533.29 is: 3,800.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.00 : 4,453.65 = 2,533.29 : x
  2. Step 2: Convert to fraction form
    2,969.00/4,453.65 = 2,533.29/x
  3. Step 3: Cross multiply
    2,969.00x = 4,453.65 × 2,533.29
  4. Step 4: Simplify right side
    2,969.00x = 11,282,387.01
  5. Step 5: Solve for x
    x = 11,282,387.01/2,969.00
  6. Step 6: Final answer
    x = 3,800.07

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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.