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Finding the Fourth Proportional to 3,018.07, 4,527.11 and 826.64

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Solution

The fourth proportional to 3,018.07, 4,527.11 and 826.64 is: 1,239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,018.07 : 4,527.11 = 826.64 : x
  2. Step 2: Convert to fraction form
    3,018.07/4,527.11 = 826.64/x
  3. Step 3: Cross multiply
    3,018.07x = 4,527.11 × 826.64
  4. Step 4: Simplify right side
    3,018.07x = 3,742,290.21
  5. Step 5: Solve for x
    x = 3,742,290.21/3,018.07
  6. Step 6: Final answer
    x = 1,239.96

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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.