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Finding the Fourth Proportional to 2,533.14, 3,495.56 and 1,485

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Solution

The fourth proportional to 2,533.14, 3,495.56 and 1,485 is: 2,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.14 : 3,495.56 = 1,485 : x
  2. Step 2: Convert to fraction form
    2,533.14/3,495.56 = 1,485/x
  3. Step 3: Cross multiply
    2,533.14x = 3,495.56 × 1,485
  4. Step 4: Simplify right side
    2,533.14x = 5,190,899.18
  5. Step 5: Solve for x
    x = 5,190,899.18/2,533.14
  6. Step 6: Final answer
    x = 2,049.20

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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.