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Finding the Fourth Proportional to 3,018.11, 4,526.64 and 826.34

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Solution

The fourth proportional to 3,018.11, 4,526.64 and 826.34 is: 1,239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,018.11 : 4,526.64 = 826.34 : x
  2. Step 2: Convert to fraction form
    3,018.11/4,526.64 = 826.34/x
  3. Step 3: Cross multiply
    3,018.11x = 4,526.64 × 826.34
  4. Step 4: Simplify right side
    3,018.11x = 3,740,521.06
  5. Step 5: Solve for x
    x = 3,740,521.06/3,018.11
  6. Step 6: Final answer
    x = 1,239.36

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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.