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Finding the Fourth Proportional to 3,056.74, 4,218.09 and 1,814.50

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Solution

The fourth proportional to 3,056.74, 4,218.09 and 1,814.50 is: 2,503.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.74 : 4,218.09 = 1,814.50 : x
  2. Step 2: Convert to fraction form
    3,056.74/4,218.09 = 1,814.50/x
  3. Step 3: Cross multiply
    3,056.74x = 4,218.09 × 1,814.50
  4. Step 4: Simplify right side
    3,056.74x = 7,653,724.31
  5. Step 5: Solve for x
    x = 7,653,724.31/3,056.74
  6. Step 6: Final answer
    x = 2,503.88

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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.