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Finding the Fourth Proportional to 1,687.64, 2,533.28 and 1,416.69

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Solution

The fourth proportional to 1,687.64, 2,533.28 and 1,416.69 is: 2,126.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.64 : 2,533.28 = 1,416.69 : x
  2. Step 2: Convert to fraction form
    1,687.64/2,533.28 = 1,416.69/x
  3. Step 3: Cross multiply
    1,687.64x = 2,533.28 × 1,416.69
  4. Step 4: Simplify right side
    1,687.64x = 3,588,865.36
  5. Step 5: Solve for x
    x = 3,588,865.36/1,687.64
  6. Step 6: Final answer
    x = 2,126.56

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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.