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Finding the Fourth Proportional to 1,920.27, 2,652.78 and 1,290.60

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Solution

The fourth proportional to 1,920.27, 2,652.78 and 1,290.60 is: 1,782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.27 : 2,652.78 = 1,290.60 : x
  2. Step 2: Convert to fraction form
    1,920.27/2,652.78 = 1,290.60/x
  3. Step 3: Cross multiply
    1,920.27x = 2,652.78 × 1,290.60
  4. Step 4: Simplify right side
    1,920.27x = 3,423,677.87
  5. Step 5: Solve for x
    x = 3,423,677.87/1,920.27
  6. Step 6: Final answer
    x = 1,782.91

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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.