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Finding the Fourth Proportional to 3,026.18, 4,538.72 and 835.07

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Solution

The fourth proportional to 3,026.18, 4,538.72 and 835.07 is: 1,252.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.18 : 4,538.72 = 835.07 : x
  2. Step 2: Convert to fraction form
    3,026.18/4,538.72 = 835.07/x
  3. Step 3: Cross multiply
    3,026.18x = 4,538.72 × 835.07
  4. Step 4: Simplify right side
    3,026.18x = 3,790,148.91
  5. Step 5: Solve for x
    x = 3,790,148.91/3,026.18
  6. Step 6: Final answer
    x = 1,252.46

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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.