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Finding the Fourth Proportional to 1,928.72, 2,659.56 and 1,888.22

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Solution

The fourth proportional to 1,928.72, 2,659.56 and 1,888.22 is: 2,603.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.72 : 2,659.56 = 1,888.22 : x
  2. Step 2: Convert to fraction form
    1,928.72/2,659.56 = 1,888.22/x
  3. Step 3: Cross multiply
    1,928.72x = 2,659.56 × 1,888.22
  4. Step 4: Simplify right side
    1,928.72x = 5,021,834.38
  5. Step 5: Solve for x
    x = 5,021,834.38/1,928.72
  6. Step 6: Final answer
    x = 2,603.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.