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Finding the Fourth Proportional to 1,859.67, 2,784.02 and 1,629.01

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Solution

The fourth proportional to 1,859.67, 2,784.02 and 1,629.01 is: 2,438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.67 : 2,784.02 = 1,629.01 : x
  2. Step 2: Convert to fraction form
    1,859.67/2,784.02 = 1,629.01/x
  3. Step 3: Cross multiply
    1,859.67x = 2,784.02 × 1,629.01
  4. Step 4: Simplify right side
    1,859.67x = 4,535,196.42
  5. Step 5: Solve for x
    x = 4,535,196.42/1,859.67
  6. Step 6: Final answer
    x = 2,438.71

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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.