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Finding the Fourth Proportional to 2,709.32, 3,738.86 and 1,530.39

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Solution

The fourth proportional to 2,709.32, 3,738.86 and 1,530.39 is: 2,111.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.32 : 3,738.86 = 1,530.39 : x
  2. Step 2: Convert to fraction form
    2,709.32/3,738.86 = 1,530.39/x
  3. Step 3: Cross multiply
    2,709.32x = 3,738.86 × 1,530.39
  4. Step 4: Simplify right side
    2,709.32x = 5,721,905.03
  5. Step 5: Solve for x
    x = 5,721,905.03/2,709.32
  6. Step 6: Final answer
    x = 2,111.94

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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.