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Finding the Fourth Proportional to 1,790.34, 2,683.03 and 1,292.78

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Solution

The fourth proportional to 1,790.34, 2,683.03 and 1,292.78 is: 1,937.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.34 : 2,683.03 = 1,292.78 : x
  2. Step 2: Convert to fraction form
    1,790.34/2,683.03 = 1,292.78/x
  3. Step 3: Cross multiply
    1,790.34x = 2,683.03 × 1,292.78
  4. Step 4: Simplify right side
    1,790.34x = 3,468,567.52
  5. Step 5: Solve for x
    x = 3,468,567.52/1,790.34
  6. Step 6: Final answer
    x = 1,937.38

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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.