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Finding the Fourth Proportional to 2,709.35, 4,060.70 and 1,540.33

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Solution

The fourth proportional to 2,709.35, 4,060.70 and 1,540.33 is: 2,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.35 : 4,060.70 = 1,540.33 : x
  2. Step 2: Convert to fraction form
    2,709.35/4,060.70 = 1,540.33/x
  3. Step 3: Cross multiply
    2,709.35x = 4,060.70 × 1,540.33
  4. Step 4: Simplify right side
    2,709.35x = 6,254,810.33
  5. Step 5: Solve for x
    x = 6,254,810.33/2,709.35
  6. Step 6: Final answer
    x = 2,308.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.