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Finding the Fourth Proportional to 2,256.60, 3,386.40 and 795.75

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Solution

The fourth proportional to 2,256.60, 3,386.40 and 795.75 is: 1,194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.60 : 3,386.40 = 795.75 : x
  2. Step 2: Convert to fraction form
    2,256.60/3,386.40 = 795.75/x
  3. Step 3: Cross multiply
    2,256.60x = 3,386.40 × 795.75
  4. Step 4: Simplify right side
    2,256.60x = 2,694,727.80
  5. Step 5: Solve for x
    x = 2,694,727.80/2,256.60
  6. Step 6: Final answer
    x = 1,194.15

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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.