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Finding the Fourth Proportional to 1,687.64, 2,533.25 and 1,493.87

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Solution

The fourth proportional to 1,687.64, 2,533.25 and 1,493.87 is: 2,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.64 : 2,533.25 = 1,493.87 : x
  2. Step 2: Convert to fraction form
    1,687.64/2,533.25 = 1,493.87/x
  3. Step 3: Cross multiply
    1,687.64x = 2,533.25 × 1,493.87
  4. Step 4: Simplify right side
    1,687.64x = 3,784,346.18
  5. Step 5: Solve for x
    x = 3,784,346.18/1,687.64
  6. Step 6: Final answer
    x = 2,242.39

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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.