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Finding the Fourth Proportional to 1,687.55, 2,524.64 and 1,583.87

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Solution

The fourth proportional to 1,687.55, 2,524.64 and 1,583.87 is: 2,369.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.55 : 2,524.64 = 1,583.87 : x
  2. Step 2: Convert to fraction form
    1,687.55/2,524.64 = 1,583.87/x
  3. Step 3: Cross multiply
    1,687.55x = 2,524.64 × 1,583.87
  4. Step 4: Simplify right side
    1,687.55x = 3,998,681.01
  5. Step 5: Solve for x
    x = 3,998,681.01/1,687.55
  6. Step 6: Final answer
    x = 2,369.53

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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.