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Finding the Fourth Proportional to 2,533.01, 3,495.42 and 1,485

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Solution

The fourth proportional to 2,533.01, 3,495.42 and 1,485 is: 2,049.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.01 : 3,495.42 = 1,485 : x
  2. Step 2: Convert to fraction form
    2,533.01/3,495.42 = 1,485/x
  3. Step 3: Cross multiply
    2,533.01x = 3,495.42 × 1,485
  4. Step 4: Simplify right side
    2,533.01x = 5,190,698.70
  5. Step 5: Solve for x
    x = 5,190,698.70/2,533.01
  6. Step 6: Final answer
    x = 2,049.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.