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Finding the Fourth Proportional to 2,261.74, 3,392.66 and 1,486.68

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Solution

The fourth proportional to 2,261.74, 3,392.66 and 1,486.68 is: 2,230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.74 : 3,392.66 = 1,486.68 : x
  2. Step 2: Convert to fraction form
    2,261.74/3,392.66 = 1,486.68/x
  3. Step 3: Cross multiply
    2,261.74x = 3,392.66 × 1,486.68
  4. Step 4: Simplify right side
    2,261.74x = 5,043,799.77
  5. Step 5: Solve for x
    x = 5,043,799.77/2,261.74
  6. Step 6: Final answer
    x = 2,230.05

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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.