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Finding the Fourth Proportional to 3,026.42, 4,539.72 and 835.16

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Solution

The fourth proportional to 3,026.42, 4,539.72 and 835.16 is: 1,252.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.42 : 4,539.72 = 835.16 : x
  2. Step 2: Convert to fraction form
    3,026.42/4,539.72 = 835.16/x
  3. Step 3: Cross multiply
    3,026.42x = 4,539.72 × 835.16
  4. Step 4: Simplify right side
    3,026.42x = 3,791,369.86
  5. Step 5: Solve for x
    x = 3,791,369.86/3,026.42
  6. Step 6: Final answer
    x = 1,252.76

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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.