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Finding the Fourth Proportional to 3,218.42, 4,828.14 and 1,026.64

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Solution

The fourth proportional to 3,218.42, 4,828.14 and 1,026.64 is: 1,540.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.42 : 4,828.14 = 1,026.64 : x
  2. Step 2: Convert to fraction form
    3,218.42/4,828.14 = 1,026.64/x
  3. Step 3: Cross multiply
    3,218.42x = 4,828.14 × 1,026.64
  4. Step 4: Simplify right side
    3,218.42x = 4,956,751.65
  5. Step 5: Solve for x
    x = 4,956,751.65/3,218.42
  6. Step 6: Final answer
    x = 1,540.12

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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.