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Finding the Fourth Proportional to 3,026.04, 4,539.04 and 834.78

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Solution

The fourth proportional to 3,026.04, 4,539.04 and 834.78 is: 1,252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.04 : 4,539.04 = 834.78 : x
  2. Step 2: Convert to fraction form
    3,026.04/4,539.04 = 834.78/x
  3. Step 3: Cross multiply
    3,026.04x = 4,539.04 × 834.78
  4. Step 4: Simplify right side
    3,026.04x = 3,789,099.81
  5. Step 5: Solve for x
    x = 3,789,099.81/3,026.04
  6. Step 6: Final answer
    x = 1,252.16

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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.