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Finding the Fourth Proportional to 1,627.67, 2,454.28 and 1,491.59

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Solution

The fourth proportional to 1,627.67, 2,454.28 and 1,491.59 is: 2,249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.67 : 2,454.28 = 1,491.59 : x
  2. Step 2: Convert to fraction form
    1,627.67/2,454.28 = 1,491.59/x
  3. Step 3: Cross multiply
    1,627.67x = 2,454.28 × 1,491.59
  4. Step 4: Simplify right side
    1,627.67x = 3,660,779.51
  5. Step 5: Solve for x
    x = 3,660,779.51/1,627.67
  6. Step 6: Final answer
    x = 2,249.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.