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Finding the Fourth Proportional to 2,125.51, 2,934.63 and 1,627.26

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Solution

The fourth proportional to 2,125.51, 2,934.63 and 1,627.26 is: 2,246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.51 : 2,934.63 = 1,627.26 : x
  2. Step 2: Convert to fraction form
    2,125.51/2,934.63 = 1,627.26/x
  3. Step 3: Cross multiply
    2,125.51x = 2,934.63 × 1,627.26
  4. Step 4: Simplify right side
    2,125.51x = 4,775,406.01
  5. Step 5: Solve for x
    x = 4,775,406.01/2,125.51
  6. Step 6: Final answer
    x = 2,246.71

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