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Finding the Fourth Proportional to 2,683.78, 4,026.05 and 1,040.34

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Solution

The fourth proportional to 2,683.78, 4,026.05 and 1,040.34 is: 1,560.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.78 : 4,026.05 = 1,040.34 : x
  2. Step 2: Convert to fraction form
    2,683.78/4,026.05 = 1,040.34/x
  3. Step 3: Cross multiply
    2,683.78x = 4,026.05 × 1,040.34
  4. Step 4: Simplify right side
    2,683.78x = 4,188,480.51
  5. Step 5: Solve for x
    x = 4,188,480.51/2,683.78
  6. Step 6: Final answer
    x = 1,560.66

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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.