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Finding the Fourth Proportional to 3,026.95, 4,539.91 and 835.18

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Solution

The fourth proportional to 3,026.95, 4,539.91 and 835.18 is: 1,252.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.95 : 4,539.91 = 835.18 : x
  2. Step 2: Convert to fraction form
    3,026.95/4,539.91 = 835.18/x
  3. Step 3: Cross multiply
    3,026.95x = 4,539.91 × 835.18
  4. Step 4: Simplify right side
    3,026.95x = 3,791,642.03
  5. Step 5: Solve for x
    x = 3,791,642.03/3,026.95
  6. Step 6: Final answer
    x = 1,252.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.