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Finding the Fourth Proportional to 3,056.90, 4,218.52 and 1,659.65

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Solution

The fourth proportional to 3,056.90, 4,218.52 and 1,659.65 is: 2,290.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.90 : 4,218.52 = 1,659.65 : x
  2. Step 2: Convert to fraction form
    3,056.90/4,218.52 = 1,659.65/x
  3. Step 3: Cross multiply
    3,056.90x = 4,218.52 × 1,659.65
  4. Step 4: Simplify right side
    3,056.90x = 7,001,241.48
  5. Step 5: Solve for x
    x = 7,001,241.48/3,056.90
  6. Step 6: Final answer
    x = 2,290.31

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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.