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Finding the Fourth Proportional to 1,291.67, 1,941.60 and 807.80

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Solution

The fourth proportional to 1,291.67, 1,941.60 and 807.80 is: 1,214.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.67 : 1,941.60 = 807.80 : x
  2. Step 2: Convert to fraction form
    1,291.67/1,941.60 = 807.80/x
  3. Step 3: Cross multiply
    1,291.67x = 1,941.60 × 807.80
  4. Step 4: Simplify right side
    1,291.67x = 1,568,424.48
  5. Step 5: Solve for x
    x = 1,568,424.48/1,291.67
  6. Step 6: Final answer
    x = 1,214.26

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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.