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Finding the Fourth Proportional to 1,607.28, 2,396.84 and 1,592.68

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Solution

The fourth proportional to 1,607.28, 2,396.84 and 1,592.68 is: 2,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.28 : 2,396.84 = 1,592.68 : x
  2. Step 2: Convert to fraction form
    1,607.28/2,396.84 = 1,592.68/x
  3. Step 3: Cross multiply
    1,607.28x = 2,396.84 × 1,592.68
  4. Step 4: Simplify right side
    1,607.28x = 3,817,399.13
  5. Step 5: Solve for x
    x = 3,817,399.13/1,607.28
  6. Step 6: Final answer
    x = 2,375.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.