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Finding the Fourth Proportional to 2,709.26, 3,738.75 and 1,530.26

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Solution

The fourth proportional to 2,709.26, 3,738.75 and 1,530.26 is: 2,111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.26 : 3,738.75 = 1,530.26 : x
  2. Step 2: Convert to fraction form
    2,709.26/3,738.75 = 1,530.26/x
  3. Step 3: Cross multiply
    2,709.26x = 3,738.75 × 1,530.26
  4. Step 4: Simplify right side
    2,709.26x = 5,721,259.58
  5. Step 5: Solve for x
    x = 5,721,259.58/2,709.26
  6. Step 6: Final answer
    x = 2,111.74

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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.